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12033013224 = 23323142315319
BaseRepresentation
bin10110011010011100…
…10011010111101000
31011001121020101222110
423031032103113220
5144120422410344
65310005122320
7604121632131
oct131516232750
934047211873
1012033013224
11511535aa31
1223b99b93a0
131199c5318b
14822172c88
154a65e23b9
hex2cd3935e8

12033013224 has 64 divisors (see below), whose sum is σ = 31414579200. Its totient is φ = 3833666496.

The previous prime is 12033013193. The next prime is 12033013261. The reversal of 12033013224 is 42231033021.

It is a self number, because there is not a number n which added to its sum of digits gives 12033013224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777837 + ... + 793155.

It is an arithmetic number, because the mean of its divisors is an integer number (490852800).

Almost surely, 212033013224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033013224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15707289600).

12033013224 is an abundant number, since it is smaller than the sum of its proper divisors (19381565976).

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

12033013224 is a wasteful number, since it uses less digits than its factorization.

12033013224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16774 (or 16770 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12033013224 its reverse (42231033021), we get a palindrome (54264046245).

The spelling of 12033013224 in words is "twelve billion, thirty-three million, thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1423 2846 4269 5692 8538 11384 15319 17076 30638 32729 34152 45957 61276 65458 91914 98187 122552 130916 183828 196374 261832 352337 367656 392748 704674 785496 1057011 1409348 2114022 2818696 4228044 8456088 21798937 43597874 65396811 87195748 130793622 174391496 261587244 501375551 523174488 1002751102 1504126653 2005502204 3008253306 4011004408 6016506612 12033013224