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12876332112 = 2432723137243
BaseRepresentation
bin10111111110111110…
…10011110001010000
31020020101002110000100
423333133103301100
5202332320111422
65525412252400
7634042005600
oct137737236120
936211073010
1012876332112
115508398996
1225b4311100
1312a2892437
148a2176c00
155056747ac
hex2ff7d3c50

12876332112 has 540 divisors, whose sum is σ = 45506837376. Its totient is φ = 3383493120.

The previous prime is 12876332107. The next prime is 12876332113. The reversal of 12876332112 is 21123367821.

12876332112 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 633 + 2 + 1 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12876332113) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 299449563 + ... + 299449605.

Almost surely, 212876332112 is an apocalyptic number.

12876332112 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 12876332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22753418688).

12876332112 is an abundant number, since it is smaller than the sum of its proper divisors (32630505264).

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

12876332112 is a wasteful number, since it uses less digits than its factorization.

12876332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 123 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

Adding to 12876332112 its reverse (21123367821), we get a palindrome (33999699933).

The spelling of 12876332112 in words is "twelve billion, eight hundred seventy-six million, three hundred thirty-two thousand, one hundred twelve".