121253068931904 has 1344 divisors, whose sum is σ = 445728689602560. Its totient is φ = 30656102400000.

The previous prime is 121253068931879. The next prime is 121253068931923. The reversal of 121253068931904 is 409139860352121.

121253068931904 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 530 + 6 + 8 + 93 + 19 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86056116352 + ... + 86056117760.

It is an arithmetic number, because the mean of its divisors is an integer number (331643370240).

Almost surely, 2^{121253068931904} is an apocalyptic number.

121253068931904 is a gapful number since it is divisible by the number (14) 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 121253068931904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222864344801280).

121253068931904 is an abundant number, since it is smaller than the sum of its proper divisors (324475620670656).

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

121253068931904 is a wasteful number, since it uses less digits than its factorization.

121253068931904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 121253068931904 in words is "one hundred twenty-one trillion, two hundred fifty-three billion, sixty-eight million, nine hundred thirty-one thousand, nine hundred four".