123782290811001 has 27 divisors (see below), whose sum is σ = 179377781555791. Its totient is φ = 82254175458864.

The previous prime is 123782290810973. The next prime is 123782290811087. The reversal of 123782290811001 is 100118092287321.

The square root of 123782290811001 is 11125749.

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

123782290811001 is a `hidden beast` number, since 12 + 378 + 2 + 2 + 90 + 81 + 100 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6928871675625 + 116853419135376 = 2632275^2 + 10809876^2 .

It is not a de Polignac number, because 123782290811001 - 2¹³ = 123782290802809 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123782290810001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10580581450 + ... + 10580593148.

Almost surely, 2^{123782290811001} is an apocalyptic number.

123782290811001 is the 11125749-th square number.

123782290811001 is the 5562875-th centered octagonal number.

It is an amenable number.

123782290811001 is a deficient number, since it is larger than the sum of its proper divisors (55595490744790).

123782290811001 is an frugal number, since it uses more digits than its factorization.

123782290811001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24038 (or 12019 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 123782290811001 in words is "one hundred twenty-three trillion, seven hundred eighty-two billion, two hundred ninety million, eight hundred eleven thousand, one".