121948909130304 has 63 divisors (see below), whose sum is σ = 349545289140307. Its totient is φ = 40649548032384.

The previous prime is 121948909130249. The next prime is 121948909130357. The reversal of 121948909130304 is 403031909849121.

The square root of 121948909130304 is 11043048.

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

121948909130304 is a `hidden beast` number, since 1 + 2 + 19 + 489 + 0 + 91 + 30 + 30 + 4 = 666.

It is a super-2 number, since 2×121948909130304² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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, 264803089 + ... + 265263215.

Almost surely, 2^{121948909130304} is an apocalyptic number.

121948909130304 is the 11043048-th square number.

It is an amenable number.

121948909130304 is an abundant number, since it is smaller than the sum of its proper divisors (227596380010003).

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

121948909130304 is an frugal number, since it uses more digits than its factorization.

121948909130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920272 (or 460132 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 121948909130304 in words is "one hundred twenty-one trillion, nine hundred forty-eight billion, nine hundred nine million, one hundred thirty thousand, three hundred four".