12268357920 has 576 divisors, whose sum is σ = 51871083264. Its totient is φ = 2571264000.

The previous prime is 12268357901. The next prime is 12268357943. The reversal of 12268357920 is 2975386221.

12268357920 is a `hidden beast` number, since 12 + 2 + 68 + 3 + 579 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32890854 + ... + 32891226.

It is an arithmetic number, because the mean of its divisors is an integer number (90053964).

Almost surely, 2^12268357920 is an apocalyptic number.

12268357920 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 12268357920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25935541632).

12268357920 is an abundant number, since it is smaller than the sum of its proper divisors (39602725344).

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

12268357920 is a wasteful number, since it uses less digits than its factorization.

12268357920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12268357920 in words is "twelve billion, two hundred sixty-eight million, three hundred fifty-seven thousand, nine hundred twenty".