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12301200132 = 22313743106129
BaseRepresentation
bin10110111010011010…
…10110101100000100
31011202021212201020220
423131031112230010
5200143101401012
65352345224340
7613556322144
oct133515265404
934667781226
1012301200132
115242785801
1224737920b0
131210692960
14849a24924
154bee1a08c
hex2dd356b04

12301200132 has 48 divisors (see below), whose sum is σ = 30952602240. Its totient is φ = 3779854848.

The previous prime is 12301200097. The next prime is 12301200133. The reversal of 12301200132 is 23100210321.

12301200132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12301200133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62844 + ... + 168972.

It is an arithmetic number, because the mean of its divisors is an integer number (644845880).

Almost surely, 212301200132 is an apocalyptic number.

12301200132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12301200132 is an abundant number, since it is smaller than the sum of its proper divisors (18651402108).

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

12301200132 is a wasteful number, since it uses less digits than its factorization.

12301200132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106892 (or 106890 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12301200132 its reverse (23100210321), we get a palindrome (35401410453).

The spelling of 12301200132 in words is "twelve billion, three hundred one million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 743 1486 2229 2972 4458 8916 9659 19318 28977 38636 57954 106129 115908 212258 318387 424516 636774 1273548 1379677 2759354 4139031 5518708 8278062 16556124 78853847 157707694 236561541 315415388 473123082 946246164 1025100011 2050200022 3075300033 4100400044 6150600066 12301200132