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132112112332000 = 2553231917518331
BaseRepresentation
bin11110000010011110111111…
…100001101010110011100000
3122022202210110020222200212111
4132002132333201222303200
5114304011101224111000
61144551244435205104
736553533205255363
oct3602367741526340
9568683406880774
10132112112332000
113910548328a449
1212998267146794
135894170b31438
14248a3905ac0da
151041814d1ecba
hex7827bf86ace0

132112112332000 has 192 divisors, whose sum is σ = 340485889056768. Its totient is φ = 50282591040000.

The previous prime is 132112112331989. The next prime is 132112112332009. The reversal of 132112112332000 is 233211211231.

It is a super-2 number, since 2×1321121123320002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132112112332009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13812835 + ... + 21331165.

It is an arithmetic number, because the mean of its divisors is an integer number (1773364005504).

Almost surely, 2132112112332000 is an apocalyptic number.

132112112332000 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 132112112332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170242944528384).

132112112332000 is an abundant number, since it is smaller than the sum of its proper divisors (208373776724768).

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

132112112332000 is a wasteful number, since it uses less digits than its factorization.

132112112332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518570 (or 7518552 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 132112112332000 its reverse (233211211231), we get a palindrome (132345323543231).

The spelling of 132112112332000 in words is "one hundred thirty-two trillion, one hundred twelve billion, one hundred twelve million, three hundred thirty-two thousand".