121925128093344 has 288 divisors, whose sum is σ = 368011572626880. Its totient is φ = 38158243209216.

The previous prime is 121925128093339. The next prime is 121925128093399. The reversal of 121925128093344 is 443390821529121.

121925128093344 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 2 + 512 + 8 + 0 + 93 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3888274914 + ... + 3888306270.

It is an arithmetic number, because the mean of its divisors is an integer number (1277817960510).

Almost surely, 2^{121925128093344} 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 121925128093344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184005786313440).

121925128093344 is an abundant number, since it is smaller than the sum of its proper divisors (246086444533536).

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

121925128093344 is a wasteful number, since it uses less digits than its factorization.

121925128093344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33292 (or 33281 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 121925128093344 in words is "one hundred twenty-one trillion, nine hundred twenty-five billion, one hundred twenty-eight million, ninety-three thousand, three hundred forty-four".