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132112011412000 = 2553937321710957
BaseRepresentation
bin11110000010011110111001…
…100000101100001000100000
3122022202210012020002102122201
4132002132321200230020200
5114304010344410141000
61144551230432142544
736553530541412104
oct3602367140541040
9568683166072581
10132112011412000
113910543131a794
1212998239397a54
135894155c57c69
14248a38101b904
15104180b03796a
hex7827b982c220

132112011412000 has 192 divisors, whose sum is σ = 325076310520416. Its totient is φ = 52767181209600.

The previous prime is 132112011411971. The next prime is 132112011412019. The reversal of 132112011412000 is 214110211231.

It can be written as a sum of positive squares in 16 ways, for example, as 4937763963664 + 127174247448336 = 2222108^2 + 11277156^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12057310522 + ... + 12057321478.

Almost surely, 2132112011412000 is an apocalyptic number.

132112011412000 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 132112011412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162538155260208).

132112011412000 is an abundant number, since it is smaller than the sum of its proper divisors (192964299108416).

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

132112011412000 is a wasteful number, since it uses less digits than its factorization.

132112011412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15136 (or 15118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 132112011412000 its reverse (214110211231), we get a palindrome (132326121623231).

The spelling of 132112011412000 in words is "one hundred thirty-two trillion, one hundred twelve billion, eleven million, four hundred twelve thousand".