121530326544 has 405 divisors, whose sum is σ = 397417342959. Its totient is φ = 34638088320.

The previous prime is 121530326531. The next prime is 121530326569. The reversal of 121530326544 is 445623035121.

The square root of 121530326544 is 348612.

It is a perfect power (a square), and thus also a powerful number.

121530326544 is a `hidden beast` number, since 1 + 21 + 530 + 3 + 2 + 65 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121530326499 and 121530326508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 874318827 + ... + 874318965.

Almost surely, 2^121530326544 is an apocalyptic number.

121530326544 is the 348612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121530326544

121530326544 is an abundant number, since it is smaller than the sum of its proper divisors (275887016415).

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

121530326544 is a wasteful number, since it uses less digits than its factorization.

121530326544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 121530326544 by its sum of digits (36), we get a square (4375091755584 = 2091672²).

121530326544 divided by its sum of digits (36) gives a square (3375842404 = 58102²).

The spelling of 121530326544 in words is "one hundred twenty-one billion, five hundred thirty million, three hundred twenty-six thousand, five hundred forty-four".