121264630416 has 80 divisors (see below), whose sum is σ = 348700003200. Its totient is φ = 40348893312.

The previous prime is 121264630397. The next prime is 121264630439. The reversal of 121264630416 is 614036462121.

121264630416 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 6 + 4 + 630 + 4 + 16 = 666.

It is a super-2 number, since 2×121264630416² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11356 + ... + 492603.

It is an arithmetic number, because the mean of its divisors is an integer number (4358750040).

Almost surely, 2^121264630416 is an apocalyptic number.

121264630416 is a gapful number since it is divisible by the number (16) 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 121264630416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174350001600).

121264630416 is an abundant number, since it is smaller than the sum of its proper divisors (227435372784).

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

121264630416 is a wasteful number, since it uses less digits than its factorization.

121264630416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504533 (or 504521 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 121264630416 in words is "one hundred twenty-one billion, two hundred sixty-four million, six hundred thirty thousand, four hundred sixteen".