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12032021223144 = 23331323829224729
BaseRepresentation
bin1010111100010110110001…
…0110011101011011101000
31120121020202020122210002000
42233011230112131123220
53034113034413120034
641331233444011000
72351166462635136
oct257055426353350
946536666583060
1012032021223144
11391982a34078a
121423a77690a60
136937cb7500c0
142d84d2648756
1515cea9200599
hexaf16c59d6e8

12032021223144 has 256 divisors, whose sum is σ = 37603621440000. Its totient is φ = 3536909494272.

The previous prime is 12032021223139. The next prime is 12032021223161. The reversal of 12032021223144 is 44132212023021.

12032021223144 is a `hidden beast` number, since 1 + 2 + 0 + 320 + 2 + 1 + 22 + 314 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 53427772 + ... + 53652500.

It is an arithmetic number, because the mean of its divisors is an integer number (146889146250).

Almost surely, 212032021223144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032021223144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18801810720000).

12032021223144 is an abundant number, since it is smaller than the sum of its proper divisors (25571600216856).

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

12032021223144 is a wasteful number, since it uses less digits than its factorization.

12032021223144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225609 (or 225599 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12032021223144 its reverse (44132212023021), we get a palindrome (56164233246165).

The spelling of 12032021223144 in words is "twelve trillion, thirty-two billion, twenty-one million, two hundred twenty-three thousand, one hundred forty-four".