12488121565920 has 960 divisors, whose sum is σ = 59174545199616. Its totient is φ = 2395321528320.

The previous prime is 12488121565831. The next prime is 12488121565963. The reversal of 12488121565920 is 2956512188421.

It is a happy number.

12488121565920 is a `hidden beast` number, since 1 + 2 + 48 + 8 + 1 + 2 + 1 + 5 + 6 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12491647 + ... + 13454273.

Almost surely, 2^{12488121565920} is an apocalyptic number.

12488121565920 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 12488121565920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29587272599808).

12488121565920 is an abundant number, since it is smaller than the sum of its proper divisors (46686423633696).

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

12488121565920 is a wasteful number, since it uses less digits than its factorization.

12488121565920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962685 (or 962668 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 12488121565920 in words is "twelve trillion, four hundred eighty-eight billion, one hundred twenty-one million, five hundred sixty-five thousand, nine hundred twenty".