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12013032120 = 2335432328107
BaseRepresentation
bin10110011000000100…
…00101001010111000
31011000012122021001120
423030002011022320
5144100314011440
65304012545240
7603460042155
oct131402051270
934005567046
1012013032120
115105052921
1223b3182220
131195a7853b
1481d65122c
154a4996dd0
hex2cc0852b8

12013032120 has 64 divisors (see below), whose sum is σ = 36877230720. Its totient is φ = 3128974464.

The previous prime is 12013032113. The next prime is 12013032127. The reversal of 12013032120 is 2123031021.

It is an interprime number because it is at equal distance from previous prime (12013032113) and next prime (12013032127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12013032120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013032127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1158894 + ... + 1169213.

It is an arithmetic number, because the mean of its divisors is an integer number (576206730).

Almost surely, 212013032120 is an apocalyptic number.

12013032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013032120 is an abundant number, since it is smaller than the sum of its proper divisors (24864198600).

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

12013032120 is a wasteful number, since it uses less digits than its factorization.

12013032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328164 (or 2328160 counting only the distinct ones).

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

Adding to 12013032120 its reverse (2123031021), we get a palindrome (14136063141).

The spelling of 12013032120 in words is "twelve billion, thirteen million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 2328107 4656214 6984321 9312428 11640535 13968642 18624856 23281070 27937284 34921605 46562140 55874568 69843210 93124280 100108601 139686420 200217202 279372840 300325803 400434404 500543005 600651606 800868808 1001086010 1201303212 1501629015 2002172020 2402606424 3003258030 4004344040 6006516060 12013032120