121211045884944 has 480 divisors, whose sum is σ = 362108661657600. Its totient is φ = 37788131404800.

The previous prime is 121211045884939. The next prime is 121211045884967. The reversal of 121211045884944 is 449488540112121.

It is a happy number.

121211045884944 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 1 + 10 + 4 + 588 + 4 + 9 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7006815207 + ... + 7006832505.

It is an arithmetic number, because the mean of its divisors is an integer number (754393045120).

Almost surely, 2^{121211045884944} 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 121211045884944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181054330828800).

121211045884944 is an abundant number, since it is smaller than the sum of its proper divisors (240897615772656).

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

121211045884944 is a wasteful number, since it uses less digits than its factorization.

121211045884944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17771 (or 17762 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 121211045884944 in words is "one hundred twenty-one trillion, two hundred eleven billion, forty-five million, eight hundred eighty-four thousand, nine hundred forty-four".