121993625745 has 20 divisors (see below), whose sum is σ = 218684870580. Its totient is φ = 65063266848.

The previous prime is 121993625729. The next prime is 121993625749. The reversal of 121993625745 is 547526399121.

121993625745 is a `hidden beast` number, since 1 + 2 + 1 + 9 + 9 + 3 + 62 + 574 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71271379089 + 50722246656 = 266967^2 + 225216^2 .

It is not a de Polignac number, because 121993625745 - 2⁴ = 121993625729 is a prime.

It is a super-2 number, since 2×121993625745² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121993625691 and 121993625700.

It is not an unprimeable number, because it can be changed into a prime (121993625749) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150609010 + ... + 150609819.

It is an arithmetic number, because the mean of its divisors is an integer number (10934243529).

Almost surely, 2^121993625745 is an apocalyptic number.

121993625745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121993625745 is a deficient number, since it is larger than the sum of its proper divisors (96691244835).

121993625745 is an equidigital number, since it uses as much as digits as its factorization.

121993625745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301218846 (or 301218837 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 121993625745 in words is "one hundred twenty-one billion, nine hundred ninety-three million, six hundred twenty-five thousand, seven hundred forty-five".