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121110021221200 = 245211230911920747
BaseRepresentation
bin11011100010011000011111…
…110010110010101101010000
3120212211000010121112120210221
4123202120133302302231100
5111333231310413034300
61105325101540002424
734336624140660064
oct3342303762625520
9525730117476727
10121110021221200
1135653520713aa0
12116bbb25090414
13527681a41261b
1421c9a83421aa4
15e00539ca731a
hex6e261fcb2b50

121110021221200 has 120 divisors (see below), whose sum is σ = 317555852312160. Its totient is φ = 44020930828800.

The previous prime is 121110021221159. The next prime is 121110021221201. The reversal of 121110021221200 is 2122120011121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121110021221201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4199227 + ... + 16119973.

It is an arithmetic number, because the mean of its divisors is an integer number (2646298769268).

Almost surely, 2121110021221200 is an apocalyptic number.

121110021221200 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 121110021221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158777926156080).

121110021221200 is an abundant number, since it is smaller than the sum of its proper divisors (196445831090960).

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

121110021221200 is a wasteful number, since it uses less digits than its factorization.

121110021221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11923085 (or 11923074 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121110021221200 its reverse (2122120011121), we get a palindrome (123232141232321).

The spelling of 121110021221200 in words is "one hundred twenty-one trillion, one hundred ten billion, twenty-one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 2309 4400 4618 9236 11545 18472 23090 25399 36944 46180 50798 57725 92360 101596 115450 126995 184720 203192 230900 253990 406384 461800 507980 634975 923600 1015960 1269950 2031920 2539900 5079800 10159600 11920747 23841494 47682988 59603735 95365976 119207470 131128217 190731952 238414940 262256434 298018675 476829880 524512868 596037350 655641085 953659760 1049025736 1192074700 1311282170 2098051472 2384149400 2622564340 3278205425 4768298800 5245128680 6556410850 10490257360 13112821700 26225643400 27525004823 52451286800 55050009646 110100019292 137625024115 220200038584 275250048230 302775053053 440400077168 550500096460 605550106106 688125120575 1101000192920 1211100212212 1376250241150 1513875265265 2202000385840 2422200424424 2752500482300 3027750530530 4844400848848 5505000964600 6055501061060 7569376326325 11010001929200 12111002122120 15138752652650 24222004244240 30277505305300 60555010610600 121110021221200