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121021112211012 = 2232132411072996349
BaseRepresentation
bin11011100001000101101100…
…011001110101011001000100
3120212111111122101112220100200
4123201011230121311121010
5111330302214211223022
61105220155331210500
734330325656601616
oct3341055431653104
9525444571486320
10121021112211012
1135619846913782
12116a6851746a30
13526b31b637b60
1421c564b398db6
15ded0845d1bac
hex6e116c675644

121021112211012 has 72 divisors (see below), whose sum is σ = 330813358675800. Its totient is φ = 37082753786880.

The previous prime is 121021112211001. The next prime is 121021112211029. The reversal of 121021112211012 is 210112211120121.

It is a happy number.

121021112211012 is a `hidden beast` number, since 1 + 210 + 211 + 1 + 221 + 10 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 725535982656 + 120295576228356 = 851784^2 + 10967934^2 .

It is a super-2 number, since 2×1210211122110122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536385387 + ... + 536610962.

Almost surely, 2121021112211012 is an apocalyptic number.

121021112211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121021112211012 is an abundant number, since it is smaller than the sum of its proper divisors (209792246464788).

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

121021112211012 is a wasteful number, since it uses less digits than its factorization.

121021112211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072996613 (or 1072996608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121021112211012 its reverse (210112211120121), we get a palindrome (331133323331133).

The spelling of 121021112211012 in words is "one hundred twenty-one trillion, twenty-one billion, one hundred twelve million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 241 468 482 723 964 1446 2169 2892 3133 4338 6266 8676 9399 12532 18798 28197 37596 56394 112788 1072996349 2145992698 3218989047 4291985396 6437978094 9656967141 12875956188 13948952537 19313934282 27897905074 38627868564 41846857611 55795810148 83693715222 125540572833 167387430444 251081145666 258592120109 502162291332 517184240218 775776360327 1034368480436 1551552720654 2327329080981 3103105441308 3361697561417 4654658161962 6723395122834 9309316323924 10085092684251 13446790245668 20170185368502 30255278052753 40340370737004 60510556105506 121021112211012