121065325920 has 1536 divisors, whose sum is σ = 568531353600. Its totient is φ = 23290675200.

The previous prime is 121065325897. The next prime is 121065325951. The reversal of 121065325920 is 29523560121.

It is a happy number.

121065325920 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 65 + 3 + 2 + 592 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 446735385 + ... + 446735655.

It is an arithmetic number, because the mean of its divisors is an integer number (370137600).

Almost surely, 2^121065325920 is an apocalyptic number.

121065325920 is a gapful number since it is divisible by the number (10) 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 121065325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284265676800).

121065325920 is an abundant number, since it is smaller than the sum of its proper divisors (447466027680).

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

121065325920 is a wasteful number, since it uses less digits than its factorization.

121065325920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

It can be divided in two parts, 121065 and 325920, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 121065325920 in words is "one hundred twenty-one billion, sixty-five million, three hundred twenty-five thousand, nine hundred twenty".