124087812121 has 63 divisors (see below), whose sum is σ = 158771073951. Its totient is φ = 96936591024.

The previous prime is 124087812113. The next prime is 124087812127. The reversal of 124087812121 is 121218780421.

The square root of 124087812121 is 352261.

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., 18356185225 + 105731626896 = 135485^2 + 325164^2 .

It is not a de Polignac number, because 124087812121 - 2³ = 124087812113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (124087812127) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1570731760 + ... + 1570731838.

It is an arithmetic number, because the mean of its divisors is an integer number (2520175777).

Almost surely, 2^124087812121 is an apocalyptic number.

124087812121 is the 352261-st square number.

124087812121 is the 176131-st centered octagonal number.

It is an amenable number.

124087812121 is a deficient number, since it is larger than the sum of its proper divisors (34683261830).

124087812121 is an frugal number, since it uses more digits than its factorization.

124087812121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 37.

The spelling of 124087812121 in words is "one hundred twenty-four billion, eighty-seven million, eight hundred twelve thousand, one hundred twenty-one".