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332100021120012 = 2232231512656205179
BaseRepresentation
bin100101110000010110000111…
…1110010011110110000001100
31121112212110012110212112202200
41023200230033302132300030
5322012111320401320022
63134152351000121500
7126644302054155255
oct11340541762366014
91545773173775680
10332100021120012
11968a9912102212
12312b7261166290
131133cb890a0cc2
145c01a2642db2c
15285da3c622bac
hex12e0b0fc9ec0c

332100021120012 has 72 divisors (see below), whose sum is σ = 881775121194240. Its totient is φ = 105185725048800.

The previous prime is 332100021120011. The next prime is 332100021120013. The reversal of 332100021120012 is 210021120001233.

332100021120012 is a `hidden beast` number, since 33 + 210 + 0 + 0 + 211 + 200 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (332100021120011) and next prime (332100021120013).

It is a super-2 number, since 2×3321000211200122 (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (332100021120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1327977562 + ... + 1328227617.

Almost surely, 2332100021120012 is an apocalyptic number.

It is an amenable number.

332100021120012 is an abundant number, since it is smaller than the sum of its proper divisors (549675100074228).

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

332100021120012 is a wasteful number, since it uses less digits than its factorization.

332100021120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656205363 (or 2656205358 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 332100021120012 its reverse (210021120001233), we get a palindrome (542121141121245).

The spelling of 332100021120012 in words is "three hundred thirty-two trillion, one hundred billion, twenty-one million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 151 207 276 302 414 453 604 828 906 1359 1812 2718 3473 5436 6946 10419 13892 20838 31257 41676 62514 125028 2656205179 5312410358 7968615537 10624820716 15937231074 23905846611 31874462148 47811693222 61092719117 95623386444 122185438234 183278157351 244370876468 366556314702 401086982029 549834472053 733112629404 802173964058 1099668944106 1203260946087 1604347928116 2199337888212 2406521892174 3609782838261 4813043784348 7219565676522 9225000586667 14439131353044 18450001173334 27675001760001 36900002346668 55350003520002 83025005280003 110700007040004 166050010560006 332100021120012