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12080292224 = 2772111313469
BaseRepresentation
bin10110100000000101…
…01010000110000000
31011011220012102120112
423100002222012000
5144220023322344
65314414330452
7605234534600
oct132002520600
934156172515
1012080292224
11513a012390
1224117b9a28
1311a6997c10
1482855cc00
154aa830c9e
hex2d00aa180

12080292224 has 192 divisors, whose sum is σ = 32892123600. Its totient is φ = 4344238080.

The previous prime is 12080292209. The next prime is 12080292227. The reversal of 12080292224 is 42229208021.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12080292227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 890162 + ... + 903630.

Almost surely, 212080292224 is an apocalyptic number.

12080292224 is a gapful number since it is divisible by the number (14) 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 12080292224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16446061800).

12080292224 is an abundant number, since it is smaller than the sum of its proper divisors (20811831376).

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

12080292224 is a wasteful number, since it uses less digits than its factorization.

12080292224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13521 (or 13502 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 12080292224 in words is "twelve billion, eighty million, two hundred ninety-two thousand, two hundred twenty-four".