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210122211120012 = 22351481145965641
BaseRepresentation
bin101111110001101011100011…
…110000001101001110001100
31000112222111011011122110100000
4233301223203300031032030
5210020120242021320022
62022520451115004300
762154554162236422
oct5761534360151614
91015874134573300
10210122211120012
1160a513693366a4
121b697113439690
1390325937276a9
1439c5d7d9cd112
151945b6314e6ac
hexbf1ae3c0d38c

210122211120012 has 72 divisors (see below), whose sum is σ = 551186115519312. Its totient is φ = 69993443692800.

The previous prime is 210122211119999. The next prime is 210122211120061. The reversal of 210122211120012 is 210021112221012.

210122211120012 is a `hidden beast` number, since 210 + 12 + 221 + 11 + 200 + 12 = 666.

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, 71543289 + ... + 74422352.

It is an arithmetic number, because the mean of its divisors is an integer number (7655362715546).

Almost surely, 2210122211120012 is an apocalyptic number.

It is an amenable number.

210122211120012 is an abundant number, since it is smaller than the sum of its proper divisors (341063904399300).

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

210122211120012 is a wasteful number, since it uses less digits than its factorization.

210122211120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145967141 (or 145967127 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210122211120012 its reverse (210021112221012), we get a palindrome (420143323341024).

The spelling of 210122211120012 in words is "two hundred ten trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1481 2962 4443 5924 8886 13329 17772 26658 39987 53316 79974 119961 159948 239922 359883 479844 719766 1439532 145965641 291931282 437896923 583862564 875793846 1313690769 1751587692 2627381538 3941072307 5254763076 7882144614 11823216921 15764289228 23646433842 35469650763 47292867684 70939301526 141878603052 216175114321 432350228642 648525342963 864700457284 1297050685926 1945576028889 2594101371852 3891152057778 5836728086667 7782304115556 11673456173334 17510184260001 23346912346668 35020368520002 52530552780003 70040737040004 105061105560006 210122211120012