12263215104 has 624 divisors, whose sum is σ = 44223536640. Its totient is φ = 3344302080.

The previous prime is 12263215079. The next prime is 12263215157. The reversal of 12263215104 is 40151236221.

12263215104 is a `hidden beast` number, since 1 + 2 + 2 + 632 + 15 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167989212 + ... + 167989284.

Almost surely, 2^12263215104 is an apocalyptic number.

12263215104 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 12263215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22111768320).

12263215104 is an abundant number, since it is smaller than the sum of its proper divisors (31960321536).

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

12263215104 is an equidigital number, since it uses as much as digits as its factorization.

12263215104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12263215104 in words is "twelve billion, two hundred sixty-three million, two hundred fifteen thousand, one hundred four".