124700090641 has 27 divisors (see below), whose sum is σ = 147654836667. Its totient is φ = 105006439440.

The previous prime is 124700090621. The next prime is 124700090651. The reversal of 124700090641 is 146090007421.

The square root of 124700090641 is 353129.

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., 4055015041 + 120645075600 = 63679^2 + 347340^2 .

It is not a de Polignac number, because 124700090641 - 2⁵ = 124700090609 is a prime.

It is a super-2 number, since 2×124700090641² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 124700090597 and 124700090606.

It is not an unprimeable number, because it can be changed into a prime (124700090621) 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, 150785670 + ... + 150786496.

Almost surely, 2^124700090641 is an apocalyptic number.

124700090641 is the 353129-th square number.

124700090641 is the 176565-th centered octagonal number.

It is an amenable number.

124700090641 is a deficient number, since it is larger than the sum of its proper divisors (22954746026).

124700090641 is an frugal number, since it uses more digits than its factorization.

124700090641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 124700090641 in words is "one hundred twenty-four billion, seven hundred million, ninety thousand, six hundred forty-one".