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121020011120100 = 2235216071721145861
BaseRepresentation
bin11011100001000100101010…
…110001100000010111100100
3120212111101210122122200120210
4123201010222301200113210
5111330242440321320400
61105215454155055420
734330256456513211
oct3341045261402744
9525441718580523
10121020011120100
1135619331323894
12116a65a4a41570
13526b1a4494781
1421c5585054b08
15ded01cad2950
hex6e112ac605e4

121020011120100 has 144 divisors (see below), whose sum is σ = 350575111506816. Its totient is φ = 32232959616000.

The previous prime is 121020011120089. The next prime is 121020011120123. The reversal of 121020011120100 is 1021110020121.

It is a super-4 number, since 4×1210200111201004 (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829621170 + ... + 829767030.

It is an arithmetic number, because the mean of its divisors is an integer number (2434549385464).

Almost surely, 2121020011120100 is an apocalyptic number.

121020011120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121020011120100 is an abundant number, since it is smaller than the sum of its proper divisors (229555100386716).

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

121020011120100 is a wasteful number, since it uses less digits than its factorization.

121020011120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149206 (or 149199 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121020011120100 its reverse (1021110020121), we get a palindrome (122041121140221).

The spelling of 121020011120100 in words is "one hundred twenty-one trillion, twenty billion, eleven million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1607 1721 3214 3442 4821 5163 6428 6884 8035 8605 9642 10326 16070 17210 19284 20652 24105 25815 32140 34420 40175 43025 48210 51630 80350 86050 96420 103260 120525 129075 145861 160700 172100 241050 258150 291722 437583 482100 516300 583444 729305 875166 1458610 1750332 2187915 2765647 2917220 3646525 4375830 5531294 7293050 8296941 8751660 10939575 11062588 13828235 14586100 16593882 21879150 27656470 33187764 41484705 43758300 55312940 69141175 82969410 138282350 165938820 207423525 234398627 251026781 276564700 414847050 468797254 502053562 703195881 753080343 829694100 937594508 1004107124 1171993135 1255133905 1406391762 1506160686 2343986270 2510267810 2812783524 3012321372 3515979405 3765401715 4687972540 5020535620 5859965675 6275669525 7031958810 7530803430 11719931350 12551339050 14063917620 15061606860 17579897025 18827008575 23439862700 25102678100 35159794050 37654017150 70319588100 75308034300 403400037067 806800074134 1210200111201 1613600148268 2017000185335 2420400222402 4034000370670 4840800444804 6051000556005 8068000741340 10085000926675 12102001112010 20170001853350 24204002224020 30255002780025 40340003706700 60510005560050 121020011120100