121811925480336 has 945 divisors, whose sum is σ = 446122587819969. Its totient is φ = 32097614605056.

The previous prime is 121811925480313. The next prime is 121811925480391. The reversal of 121811925480336 is 633084529118121.

The square root of 121811925480336 is 11036844.

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

121811925480336 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 1 + 1 + 92 + 548 + 0 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18019515603600 + 103792409876736 = 4244940^2 + 10187856^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 108470102271 + ... + 108470103393.

Almost surely, 2^{121811925480336} is an apocalyptic number.

121811925480336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121811925480336 is the 11036844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121811925480336

121811925480336 is an abundant number, since it is smaller than the sum of its proper divisors (324310662339633).

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

121811925480336 is an frugal number, since it uses more digits than its factorization.

121811925480336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 121811925480336 in words is "one hundred twenty-one trillion, eight hundred eleven billion, nine hundred twenty-five million, four hundred eighty thousand, three hundred thirty-six".