121536332288 has 270 divisors, whose sum is σ = 296057133999. Its totient is φ = 49696819200.

The previous prime is 121536332279. The next prime is 121536332299. The reversal of 121536332288 is 882233635121.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 60768166144 + 60768166144 = 246512^2 + 246512^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=246512.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1711779293 + ... + 1711779363.

Almost surely, 2^121536332288 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 121536332288

121536332288 is an abundant number, since it is smaller than the sum of its proper divisors (174520801711).

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

121536332288 is an frugal number, since it uses more digits than its factorization.

121536332288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 111 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The spelling of 121536332288 in words is "one hundred twenty-one billion, five hundred thirty-six million, three hundred thirty-two thousand, two hundred eighty-eight".