121593383709721 has 81 divisors (see below), whose sum is σ = 157771827537471. Its totient is φ = 93367297900800.

The previous prime is 121593383709653. The next prime is 121593383709769. The reversal of 121593383709721 is 127907383395121.

The square root of 121593383709721 is 11026939.

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., 102845661451225 + 18747722258496 = 10141285^2 + 4329864^2 .

It is not a de Polignac number, because 121593383709721 - 2¹⁷ = 121593383578649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121593383709721.

It is not an unprimeable number, because it can be changed into a prime (121593383700721) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 60284274505 + ... + 60284276521.

Almost surely, 2^{121593383709721} is an apocalyptic number.

121593383709721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121593383709721 is the 11026939-th square number.

121593383709721 is the 5513470-th centered octagonal number.

It is an amenable number.

121593383709721 is a deficient number, since it is larger than the sum of its proper divisors (36178443827750).

121593383709721 is an frugal number, since it uses more digits than its factorization.

121593383709721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 61.

The spelling of 121593383709721 in words is "one hundred twenty-one trillion, five hundred ninety-three billion, three hundred eighty-three million, seven hundred nine thousand, seven hundred twenty-one".