121357428192 has 1152 divisors, whose sum is σ = 483443251200. Its totient is φ = 28686873600.

The previous prime is 121357428169. The next prime is 121357428211. The reversal of 121357428192 is 291824753121.

121357428192 is a `hidden beast` number, since 1 + 2 + 1 + 35 + 7 + 428 + 192 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1709259517 + ... + 1709259587.

It is an arithmetic number, because the mean of its divisors is an integer number (419655600).

Almost surely, 2^121357428192 is an apocalyptic number.

121357428192 is a gapful number since it is divisible by the number (12) 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 121357428192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241721625600).

121357428192 is an abundant number, since it is smaller than the sum of its proper divisors (362085823008).

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

121357428192 is a wasteful number, since it uses less digits than its factorization.

121357428192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 107 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 121357428192 in words is "one hundred twenty-one billion, three hundred fifty-seven million, four hundred twenty-eight thousand, one hundred ninety-two".