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132022220121192 = 233317313118739907
BaseRepresentation
bin11110000001001011010001…
…100010000110010001101000
3122022110012102111221020201110
4132001023101202012101220
5114301023001322334232
61144442100505150320
736544201455135132
oct3601132142062150
9568405374836643
10132022220121192
113908034449aa35
121298295a48b3a0
13588884644c15b
142485ca3b2c052
15103e303185acc
hex7812d1886468

132022220121192 has 256 divisors, whose sum is σ = 348227018219520. Its totient is φ = 41657313484800.

The previous prime is 132022220121167. The next prime is 132022220121217. The reversal of 132022220121192 is 291121022220231.

It is an interprime number because it is at equal distance from previous prime (132022220121167) and next prime (132022220121217).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13326150303 + ... + 13326160209.

It is an arithmetic number, because the mean of its divisors is an integer number (1360261789920).

Almost surely, 2132022220121192 is an apocalyptic number.

132022220121192 is a gapful number since it is divisible by the number (12) 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 132022220121192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174113509109760).

132022220121192 is an abundant number, since it is smaller than the sum of its proper divisors (216204798098328).

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

132022220121192 is a wasteful number, since it uses less digits than its factorization.

132022220121192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12024 (or 12020 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 132022220121192 in words is "one hundred thirty-two trillion, twenty-two billion, two hundred twenty million, one hundred twenty-one thousand, one hundred ninety-two".