121135065408000 has 1280 divisors, whose sum is σ = 521860420224000. Its totient is φ = 27687879475200.

The previous prime is 121135065407987. The next prime is 121135065408031. The reversal of 121135065408000 is 804560531121.

121135065408000 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 35 + 0 + 6 + 540 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 592601812 + ... + 592806188.

It is an arithmetic number, because the mean of its divisors is an integer number (407703453300).

Almost surely, 2^{121135065408000} is an apocalyptic number.

121135065408000 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 121135065408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260930210112000).

121135065408000 is an abundant number, since it is smaller than the sum of its proper divisors (400725354816000).

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

121135065408000 is an frugal number, since it uses more digits than its factorization.

121135065408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204440 (or 204394 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 121135065408000 in words is "one hundred twenty-one trillion, one hundred thirty-five billion, sixty-five million, four hundred eight thousand".