12048978931920 has 480 divisors, whose sum is σ = 47996158549248. Its totient is φ = 2751855980544.

The previous prime is 12048978931883. The next prime is 12048978931931. The reversal of 12048978931920 is 2913987984021.

12048978931920 is a `hidden beast` number, since 1 + 20 + 489 + 7 + 89 + 31 + 9 + 20 = 666.

It is a super-3 number, since 3×12048978931920³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 173739492 + ... + 173808828.

Almost surely, 2^{12048978931920} is an apocalyptic number.

12048978931920 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 12048978931920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998079274624).

12048978931920 is an abundant number, since it is smaller than the sum of its proper divisors (35947179617328).

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

12048978931920 is a wasteful number, since it uses less digits than its factorization.

12048978931920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70649 (or 70631 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 12048978931920 in words is "twelve trillion, forty-eight billion, nine hundred seventy-eight million, nine hundred thirty-one thousand, nine hundred twenty".