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121002120100120 = 23571451446366733
BaseRepresentation
bin11011100000110100000000…
…011000101011100100011000
3120212102200121210112201001011
4123200310000120223210120
5111324444320221200440
61105203335004303304
734326054223404130
oct3340640030534430
9525380553481034
10121002120100120
1135611790306766
12116a3031241b34
1352695b2a0020c
1421c4768cb5ac0
15dec8220a49ea
hex6e0d0062b918

121002120100120 has 128 divisors (see below), whose sum is σ = 311437178173440. Its totient is φ = 41447939212800.

The previous prime is 121002120100097. The next prime is 121002120100123. The reversal of 121002120100120 is 21001021200121.

It is a super-3 number, since 3×1210021201001203 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121002120100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002120100123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1813194274 + ... + 1813261006.

It is an arithmetic number, because the mean of its divisors is an integer number (2433102954480).

Almost surely, 2121002120100120 is an apocalyptic number.

121002120100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121002120100120 is an abundant number, since it is smaller than the sum of its proper divisors (190435058073320).

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

121002120100120 is a wasteful number, since it uses less digits than its factorization.

121002120100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72665 (or 72661 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121002120100120 its reverse (21001021200121), we get a palindrome (142003141300241).

The spelling of 121002120100120 in words is "one hundred twenty-one trillion, two billion, one hundred twenty million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1451 2902 4463 5804 7255 8926 10157 11608 14510 17852 20314 22315 29020 31241 35704 40628 44630 50785 58040 62482 66733 81256 89260 101570 124964 133466 156205 178520 203140 249928 266932 312410 333665 406280 467131 533864 624820 667330 934262 1249640 1334660 1868524 2335655 2669320 3737048 4671310 6475813 9342620 12951626 18685240 25903252 32379065 45330691 51806504 64758130 90661382 96829583 129516260 181322764 193659166 226653455 259032520 297829379 362645528 387318332 453306910 484147915 595658758 677807081 774636664 906613820 968295830 1191317516 1355614162 1489146895 1813227640 1936591660 2084805653 2382635032 2711228324 2978293790 3389035405 3873183320 4169611306 5422456648 5956587580 6778070810 8339222612 10424028265 11913175160 13556141620 16678445224 20848056530 27112283240 41696113060 83392226120 432150428929 864300857858 1728601715716 2160752144645 3025053002503 3457203431432 4321504289290 6050106005006 8643008578580 12100212010012 15125265012515 17286017157160 24200424020024 30250530025030 60501060050060 121002120100120