121611130454016 has 2160 divisors, whose sum is σ = 438444793987200. Its totient is φ = 32337171578880.

The previous prime is 121611130453963. The next prime is 121611130454039. The reversal of 121611130454016 is 610454031116121.

121611130454016 is a `hidden beast` number, since 1 + 2 + 1 + 61 + 1 + 130 + 454 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 816182083510 + ... + 816182083658.

It is an arithmetic number, because the mean of its divisors is an integer number (202983700920).

Almost surely, 2^{121611130454016} is an apocalyptic number.

121611130454016 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 121611130454016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219222396993600).

121611130454016 is an abundant number, since it is smaller than the sum of its proper divisors (316833663533184).

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

121611130454016 is a wasteful number, since it uses less digits than its factorization.

121611130454016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 121611130454016 in words is "one hundred twenty-one trillion, six hundred eleven billion, one hundred thirty million, four hundred fifty-four thousand, sixteen".