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132321122214120 = 2332571717831732321
BaseRepresentation
bin11110000101100001101001…
…011111000110000011101000
3122100111202221111221211002200
4132011201221133012003220
5114320422124241322440
61145231252342300200
736604612522042320
oct3605415137060350
9570452844854080
10132321122214120
1139186088981414
1212a10878127660
1358aaa9c9808b8
14249653b118280
151046e99273c30
hex7858697c60e8

132321122214120 has 384 divisors, whose sum is σ = 520681113239040. Its totient is φ = 28449738915840.

The previous prime is 132321122214119. The next prime is 132321122214221. The reversal of 132321122214120 is 21412221123231.

132321122214120 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 21 + 1 + 2 + 221 + 412 + 0 = 666.

It is a super-2 number, since 2×1323211222141202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75517560 + ... + 77249880.

It is an arithmetic number, because the mean of its divisors is an integer number (1355940399060).

Almost surely, 2132321122214120 is an apocalyptic number.

132321122214120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132321122214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260340556619520).

132321122214120 is an abundant number, since it is smaller than the sum of its proper divisors (388359991024920).

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

132321122214120 is a wasteful number, since it uses less digits than its factorization.

132321122214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734145 (or 1734138 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 132321122214120 its reverse (21412221123231), we get a palindrome (153733343337351).

The spelling of 132321122214120 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, one hundred twenty-two million, two hundred fourteen thousand, one hundred twenty".