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12033144312 = 233771625859
BaseRepresentation
bin10110011010011101…
…10011010111111000
31011001121111001210120
423031032303113320
5144120441104222
65310012013240
7604123016250
oct131516632770
934047431716
1012033144312
11511543a472
1223b9a61220
131199c9aa47
148221a8960
154a661b15c
hex2cd3b35f8

12033144312 has 32 divisors (see below), whose sum is σ = 34380412800. Its totient is φ = 3438041184.

The previous prime is 12033144311. The next prime is 12033144349. The reversal of 12033144312 is 21344133021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033144311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35812762 + ... + 35813097.

It is an arithmetic number, because the mean of its divisors is an integer number (1074387900).

Almost surely, 212033144312 is an apocalyptic number.

12033144312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12033144312 is an abundant number, since it is smaller than the sum of its proper divisors (22347268488).

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

12033144312 is a wasteful number, since it uses less digits than its factorization.

12033144312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71625875 (or 71625871 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12033144312 its reverse (21344133021), we get a palindrome (33377277333).

The spelling of 12033144312 in words is "twelve billion, thirty-three million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 71625859 143251718 214877577 286503436 429755154 501381013 573006872 859510308 1002762026 1504143039 1719020616 2005524052 3008286078 4011048104 6016572156 12033144312