121918724928 has 1008 divisors, whose sum is σ = 483996065280. Its totient is φ = 28539371520.

The previous prime is 121918724903. The next prime is 121918724933. The reversal of 121918724928 is 829427819121.

121918724928 is a `hidden beast` number, since 1 + 219 + 187 + 249 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×121918724928³ (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 298089588 + ... + 298089996.

Almost surely, 2^121918724928 is an apocalyptic number.

121918724928 is a gapful number since it is divisible by the number (18) 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 121918724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241998032640).

121918724928 is an abundant number, since it is smaller than the sum of its proper divisors (362077340352).

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

121918724928 is a wasteful number, since it uses less digits than its factorization.

121918724928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 492 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 121918724928 in words is "one hundred twenty-one billion, nine hundred eighteen million, seven hundred twenty-four thousand, nine hundred twenty-eight".