121904640000 has 1560 divisors, whose sum is σ = 530914015632. Its totient is φ = 26542080000.

The previous prime is 121904639957. The next prime is 121904640019. The reversal of 121904640000 is 46409121.

121904640000 is a `hidden beast` number, since 1 + 2 + 19 + 0 + 4 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3294719982 + ... + 3294720018.

Almost surely, 2^121904640000 is an apocalyptic number.

121904640000 is a gapful number since it is divisible by the number (10) 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 121904640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265457007816).

121904640000 is an abundant number, since it is smaller than the sum of its proper divisors (409009375632).

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

121904640000 is a wasteful number, since it uses less digits than its factorization.

121904640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 121904640000 in words is "one hundred twenty-one billion, nine hundred four million, six hundred forty thousand".