121513419587952 has 640 divisors, whose sum is σ = 444366530150400. Its totient is φ = 30949876445184.

The previous prime is 121513419587947. The next prime is 121513419587981. The reversal of 121513419587952 is 259785914315121.

121513419587952 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 1 + 3 + 41 + 9 + 587 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×121513419587952² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121513419587952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6703439913 + ... + 6703458039.

It is an arithmetic number, because the mean of its divisors is an integer number (694322703360).

Almost surely, 2^{121513419587952} is an apocalyptic number.

121513419587952 is a gapful number since it is divisible by the number (12) 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 121513419587952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222183265075200).

121513419587952 is an abundant number, since it is smaller than the sum of its proper divisors (322853110562448).

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

121513419587952 is a wasteful number, since it uses less digits than its factorization.

121513419587952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25050 (or 25038 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 63.

The spelling of 121513419587952 in words is "one hundred twenty-one trillion, five hundred thirteen billion, four hundred nineteen million, five hundred eighty-seven thousand, nine hundred fifty-two".