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12132232320 = 273513975011
BaseRepresentation
bin10110100110010001…
…10010110010000000
31011022111221020222210
423103020302302000
5144321322413240
65323511502120
7606435162465
oct132310626200
934274836883
1012132232320
11516636878a
122427087940
1311b46823c0
148313dd66c
154b0190780
hex2d3232c80

12132232320 has 256 divisors, whose sum is σ = 42083959680. Its totient is φ = 2955018240.

The previous prime is 12132232283. The next prime is 12132232367. The reversal of 12132232320 is 2323223121.

It is a happy number.

It is a super-2 number, since 2×121322323202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2418615 + ... + 2423625.

Almost surely, 212132232320 is an apocalyptic number.

12132232320 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 12132232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21041979840).

12132232320 is an abundant number, since it is smaller than the sum of its proper divisors (29951727360).

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

12132232320 is a wasteful number, since it uses less digits than its factorization.

12132232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12132232320 its reverse (2323223121), we get a palindrome (14455455441).

The spelling of 12132232320 in words is "twelve billion, one hundred thirty-two million, two hundred thirty-two thousand, three hundred twenty".