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12224122920 = 233252910111593
BaseRepresentation
bin10110110001001110…
…10101000000101000
31011112220211210012100
423120213111000220
5200013333413140
65340553213400
7611632221222
oct133047250050
934486753170
1012224122920
115203220529
122451a01260
1311ca716a39
1483d6bd412
154b8292530
hex2d89d5028

12224122920 has 192 divisors, whose sum is σ = 41508838800. Its totient is φ = 3115929600.

The previous prime is 12224122909. The next prime is 12224122921. The reversal of 12224122920 is 2922142221.

12224122920 is a `hidden beast` number, since 1 + 222 + 412 + 2 + 9 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11353754916 + 870368004 = 106554^2 + 29502^2 .

It is not an unprimeable number, because it can be changed into a prime (12224122921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048644 + ... + 1060236.

Almost surely, 212224122920 is an apocalyptic number.

12224122920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12224122920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20754419400).

12224122920 is an abundant number, since it is smaller than the sum of its proper divisors (29284715880).

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

12224122920 is a wasteful number, since it uses less digits than its factorization.

12224122920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11740 (or 11733 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

It can be divided in two parts, 122241 and 22920, that added together give a square (145161 = 3812).

The spelling of 12224122920 in words is "twelve billion, two hundred twenty-four million, one hundred twenty-two thousand, nine hundred twenty".