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12044422332432 = 2433741646915017
BaseRepresentation
bin1010111101000100111110…
…0000111100000000010000
31120122102202111112101221000
42233101033200330000100
53034313434104114212
641341044202502000
72352116004423540
oct257211740740020
946572674471830
1012044422332432
113924013455736
121426358804900
13694a26a240a9
142d8d4b639320
1515d482ca31dc
hexaf44f83c010

12044422332432 has 320 divisors, whose sum is σ = 40483433894400. Its totient is φ = 3356587745280.

The previous prime is 12044422332427. The next prime is 12044422332469. The reversal of 12044422332432 is 23423322444021.

12044422332432 is a `hidden beast` number, since 1 + 204 + 4 + 422 + 3 + 3 + 24 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 802044988 + ... + 802060004.

It is an arithmetic number, because the mean of its divisors is an integer number (126510730920).

Almost surely, 212044422332432 is an apocalyptic number.

12044422332432 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 12044422332432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20241716947200).

12044422332432 is an abundant number, since it is smaller than the sum of its proper divisors (28439011561968).

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

12044422332432 is a wasteful number, since it uses less digits than its factorization.

12044422332432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21551 (or 21539 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 12044422332432 its reverse (23423322444021), we get a palindrome (35467744776453).

The spelling of 12044422332432 in words is "twelve trillion, forty-four billion, four hundred twenty-two million, three hundred thirty-two thousand, four hundred thirty-two".