121633864704 has 704 divisors, whose sum is σ = 410883010560. Its totient is φ = 35223552000.

The previous prime is 121633864691. The next prime is 121633864777. The reversal of 121633864704 is 407468336121.

121633864704 is a `hidden beast` number, since 1 + 2 + 1 + 633 + 8 + 6 + 4 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 121633864704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 928502719 + ... + 928502849.

It is an arithmetic number, because the mean of its divisors is an integer number (583640640).

Almost surely, 2^121633864704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121633864704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205441505280).

121633864704 is an abundant number, since it is smaller than the sum of its proper divisors (289249145856).

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

121633864704 is a wasteful number, since it uses less digits than its factorization.

121633864704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 121633864704 in words is "one hundred twenty-one billion, six hundred thirty-three million, eight hundred sixty-four thousand, seven hundred four".