121235315413410 has 384 divisors, whose sum is σ = 374873898147840. Its totient is φ = 26867269900800.

The previous prime is 121235315413379. The next prime is 121235315413447. The reversal of 121235315413410 is 14314513532121.

121235315413410 is a `hidden beast` number, since 1 + 2 + 1 + 23 + 53 + 1 + 541 + 3 + 41 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61803244 + ... + 63734696.

It is an arithmetic number, because the mean of its divisors is an integer number (976234109760).

Almost surely, 2^{121235315413410} is an apocalyptic number.

121235315413410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121235315413410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187436949073920).

121235315413410 is an abundant number, since it is smaller than the sum of its proper divisors (253638582734430).

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

121235315413410 is a wasteful number, since it uses less digits than its factorization.

121235315413410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931614 (or 1931611 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 121235315413410 its reverse (14314513532121), we get a palindrome (135549828945531).

The spelling of 121235315413410 in words is "one hundred twenty-one trillion, two hundred thirty-five billion, three hundred fifteen million, four hundred thirteen thousand, four hundred ten".