12415273920 has 448 divisors, whose sum is σ = 50566563840. Its totient is φ = 2808815616.

The previous prime is 12415273909. The next prime is 12415273931. The reversal of 12415273920 is 2937251421.

12415273920 is a `hidden beast` number, since 1 + 2 + 41 + 527 + 3 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12415273909) and next prime (12415273931).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6228444 + ... + 6230436.

Almost surely, 2^12415273920 is an apocalyptic number.

12415273920 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 12415273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25283281920).

12415273920 is an abundant number, since it is smaller than the sum of its proper divisors (38151289920).

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

12415273920 is a wasteful number, since it uses less digits than its factorization.

12415273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12415273920 in words is "twelve billion, four hundred fifteen million, two hundred seventy-three thousand, nine hundred twenty".