123270507801 has 45 divisors (see below), whose sum is σ = 214247738991. Its totient is φ = 70427650608.

The previous prime is 123270507779. The next prime is 123270507827. The reversal of 123270507801 is 108705072321.

The square root of 123270507801 is 351099.

It is a perfect power (a square), and thus also a powerful number.

123270507801 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 70 + 507 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5294745225 + 117975762576 = 72765^2 + 343476^2 .

It is not a de Polignac number, because 123270507801 - 2¹⁹ = 123269983513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123270502801) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22116451 + ... + 22122023.

Almost surely, 2^123270507801 is an apocalyptic number.

123270507801 is the 351099-th square number.

123270507801 is the 175550-th centered octagonal number.

It is an amenable number.

123270507801 is a deficient number, since it is larger than the sum of its proper divisors (90977231190).

123270507801 is an frugal number, since it uses more digits than its factorization.

123270507801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11172 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Multiplying 123270507801 by its sum of digits (36), we get a square (4437738280836 = 2106594²).

The spelling of 123270507801 in words is "one hundred twenty-three billion, two hundred seventy million, five hundred seven thousand, eight hundred one".