124256955001 has 27 divisors (see below), whose sum is σ = 130915641423. Its totient is φ = 117932734560.

The previous prime is 124256954989. The next prime is 124256955019. The reversal of 124256955001 is 100559652421.

The square root of 124256955001 is 352501.

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., 72989127225 + 51267827776 = 270165^2 + 226424^2 .

It is not a de Polignac number, because 124256955001 - 2⁷ = 124256954873 is a prime.

It is a super-2 number, since 2×124256955001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124256955091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 906985005 + ... + 906985141.

Almost surely, 2^124256955001 is an apocalyptic number.

124256955001 is the 352501-st square number.

124256955001 is the 176251-st centered octagonal number.

It is an amenable number.

124256955001 is a deficient number, since it is larger than the sum of its proper divisors (6658686422).

124256955001 is an frugal number, since it uses more digits than its factorization.

124256955001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 124256955001 in words is "one hundred twenty-four billion, two hundred fifty-six million, nine hundred fifty-five thousand, one".