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12132001320 = 2335101100011
BaseRepresentation
bin10110100110001111…
…11010011000101000
31011022111111112010020
423103013322120220
5144321243020240
65323502520440
7606433211145
oct132307723050
934274445106
1012132001320
11516622017a
122426b96120
1311b460120a
1483137d3cc
154b01470d0
hex2d31fa628

12132001320 has 32 divisors (see below), whose sum is σ = 36396004320. Its totient is φ = 3235200320.

The previous prime is 12132001303. The next prime is 12132001331. The reversal of 12132001320 is 2310023121.

12132001320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

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 12132001320.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 50549886 + ... + 50550125.

It is an arithmetic number, because the mean of its divisors is an integer number (1137375135).

Almost surely, 212132001320 is an apocalyptic number.

12132001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132001320 is an abundant number, since it is smaller than the sum of its proper divisors (24264003000).

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

12132001320 is a wasteful number, since it uses less digits than its factorization.

12132001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101100025 (or 101100021 counting only the distinct ones).

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

Adding to 12132001320 its reverse (2310023121), we get a palindrome (14442024441).

The spelling of 12132001320 in words is "twelve billion, one hundred thirty-two million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 101100011 202200022 303300033 404400044 505500055 606600066 808800088 1011000110 1213200132 1516500165 2022000220 2426400264 3033000330 4044000440 6066000660 12132001320