12417937920 has 360 divisors, whose sum is σ = 45419861916. Its totient is φ = 3135062016.

The previous prime is 12417937913. The next prime is 12417937967. The reversal of 12417937920 is 2973971421.

It can be written as a sum of positive squares in 2 ways, for example, as 12177563904 + 240374016 = 110352^2 + 15504^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 8316694 + ... + 8318186.

Almost surely, 2^12417937920 is an apocalyptic number.

12417937920 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 12417937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22709930958).

12417937920 is an abundant number, since it is smaller than the sum of its proper divisors (33001923996).

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

12417937920 is a wasteful number, since it uses less digits than its factorization.

12417937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 12417937920 in words is "twelve billion, four hundred seventeen million, nine hundred thirty-seven thousand, nine hundred twenty".