10122933633696 has 864 divisors, whose sum is σ = 32805077760000. Its totient is φ = 2955819589632.

The previous prime is 10122933633643. The next prime is 10122933633713. The reversal of 10122933633696 is 69633633922101.

10122933633696 is a `hidden beast` number, since 1 + 0 + 12 + 293 + 3 + 6 + 336 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26709587235 + ... + 26709587613.

It is an arithmetic number, because the mean of its divisors is an integer number (37968840000).

Almost surely, 2^{10122933633696} is an apocalyptic number.

10122933633696 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 10122933633696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402538880000).

10122933633696 is an abundant number, since it is smaller than the sum of its proper divisors (22682144126304).

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

10122933633696 is a wasteful number, since it uses less digits than its factorization.

10122933633696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 54.

The spelling of 10122933633696 in words is "ten trillion, one hundred twenty-two billion, nine hundred thirty-three million, six hundred thirty-three thousand, six hundred ninety-six".