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12132321444 = 22321613208933
BaseRepresentation
bin10110100110010010…
…01000100010100100
31011022112002210020200
423103021020202210
5144321333241234
65323513430500
7606436013355
oct132311104244
934275083220
1012132321444
115166419741
12242710b430
1311b46b3b39
14831423d2c
154b01abd99
hex2d32488a4

12132321444 has 36 divisors (see below), whose sum is σ = 30686972316. Its totient is φ = 4041580608.

The previous prime is 12132321437. The next prime is 12132321449. The reversal of 12132321444 is 44412323121.

12132321444 is a `hidden beast` number, since 1 + 213 + 2 + 3 + 2 + 1 + 444 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4374235044 + 7758086400 = 66138^2 + 88080^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (12132321449) 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 11 ways as a sum of consecutive naturals, for example, 46399 + ... + 162534.

Almost surely, 212132321444 is an apocalyptic number.

It is an amenable number.

12132321444 is an abundant number, since it is smaller than the sum of its proper divisors (18554650872).

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

12132321444 is a wasteful number, since it uses less digits than its factorization.

12132321444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210556 (or 210551 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12132321444 its reverse (44412323121), we get a palindrome (56544644565).

The spelling of 12132321444 in words is "twelve billion, one hundred thirty-two million, three hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1613 3226 4839 6452 9678 14517 19356 29034 58068 208933 417866 626799 835732 1253598 1880397 2507196 3760794 7521588 337008929 674017858 1011026787 1348035716 2022053574 3033080361 4044107148 6066160722 12132321444