121577250320 has 80 divisors (see below), whose sum is σ = 299486889648. Its totient is φ = 45740851200.

The previous prime is 121577250313. The next prime is 121577250341. The reversal of 121577250320 is 23052775121.

It can be written as a sum of positive squares in 8 ways, for example, as 32228866576 + 89348383744 = 179524^2 + 298912^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2149442 + ... + 2205278.

Almost surely, 2^121577250320 is an apocalyptic number.

121577250320 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 121577250320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149743444824).

121577250320 is an abundant number, since it is smaller than the sum of its proper divisors (177909639328).

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

121577250320 is a wasteful number, since it uses less digits than its factorization.

121577250320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57468 (or 57462 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 121577250320 in words is "one hundred twenty-one billion, five hundred seventy-seven million, two hundred fifty thousand, three hundred twenty".