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121021021011120 = 243510337313125127
BaseRepresentation
bin11011100001000101100110…
…111101111011110010110000
3120212111111102000221110121220
4123201011212331323302300
5111330302022334323440
61105220142312345040
734330323501450666
oct3341054675736260
9525444360843556
10121021021011120
11356197aa39296a
12116a68270a5180
13526b305785a19
1421c563d218c36
15ded07b5b98d0
hex6e1166f7bcb0

121021021011120 has 160 divisors (see below), whose sum is σ = 379823144143872. Its totient is φ = 31873265980416.

The previous prime is 121021021011097. The next prime is 121021021011167. The reversal of 121021021011120 is 21110120120121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121021021011120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2657997 + ... + 15783123.

Almost surely, 2121021021011120 is an apocalyptic number.

121021021011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121021021011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189911572071936).

121021021011120 is an abundant number, since it is smaller than the sum of its proper divisors (258802123132752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121021021011120 is a wasteful number, since it uses less digits than its factorization.

121021021011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13125619 (or 13125613 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121021021011120 its reverse (21110120120121), we get a palindrome (142131141131241).

The spelling of 121021021011120 in words is "one hundred twenty-one trillion, twenty-one billion, twenty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 373 412 515 618 746 824 1030 1119 1236 1492 1545 1648 1865 2060 2238 2472 2984 3090 3730 4120 4476 4944 5595 5968 6180 7460 8240 8952 11190 12360 14920 17904 22380 24720 29840 38419 44760 76838 89520 115257 153676 192095 230514 307352 384190 461028 576285 614704 768380 922056 1152570 1536760 1844112 2305140 3073520 4610280 9220560 13125127 26250254 39375381 52500508 65625635 78750762 105001016 131251270 157501524 196876905 210002032 262502540 315003048 393753810 525005080 630006096 787507620 1050010160 1351888081 1575015240 2703776162 3150030480 4055664243 4895672371 5407552324 6759440405 8111328486 9791344742 10815104648 13518880810 14687017113 16222656972 19582689484 20278321215 21630209296 24478361855 27037761620 29374034226 32445313944 39165378968 40556642430 48956723710 54075523240 58748068452 64890627888 73435085565 78330757936 81113284860 97913447420 108151046480 117496136904 146870171130 162226569720 195826894840 234992273808 293740342260 324453139440 391653789680 504254254213 587480684520 1008508508426 1174961369040 1512762762639 2017017016852 2521271271065 3025525525278 4034034033704 5042542542130 6051051050556 7563813813195 8068068067408 10085085084260 12102102101112 15127627626390 20170170168520 24204204202224 30255255252780 40340340337040 60510510505560 121021021011120