121248811264 has 81 divisors (see below), whose sum is σ = 281628700857. Its totient is φ = 51947062272.

The previous prime is 121248811247. The next prime is 121248811273. The reversal of 121248811264 is 462118842121.

The square root of 121248811264 is 348208.

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

It can be written as a sum of positive squares in only one way, i.e., 21493905664 + 99754905600 = 146608^2 + 315840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38997742 + ... + 39000850.

Almost surely, 2^121248811264 is an apocalyptic number.

121248811264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

121248811264 is the 348208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121248811264

121248811264 is an abundant number, since it is smaller than the sum of its proper divisors (160379889593).

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

121248811264 is an frugal number, since it uses more digits than its factorization.

121248811264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6248 (or 3118 counting only the distinct ones).

The product of its digits is 49152, while the sum is 40.

The spelling of 121248811264 in words is "one hundred twenty-one billion, two hundred forty-eight million, eight hundred eleven thousand, two hundred sixty-four".