123268240842100 has 36 divisors (see below), whose sum is σ = 270140519111148. Its totient is φ = 48819105280000.

The previous prime is 123268240842067. The next prime is 123268240842101. The reversal of 123268240842100 is 1248042862321.

It can be written as a sum of positive squares in 6 ways, for example, as 215411087376 + 123052829754724 = 464124^2 + 11092918^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123268240842101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6102378061 + ... + 6102398260.

It is an arithmetic number, because the mean of its divisors is an integer number (7503903308643).

Almost surely, 2^{123268240842100} is an apocalyptic number.

123268240842100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123268240842100 is an abundant number, since it is smaller than the sum of its proper divisors (146872278269048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123268240842100 is a wasteful number, since it uses less digits than its factorization.

123268240842100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12204776436 (or 12204776429 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 123268240842100 in words is "one hundred twenty-three trillion, two hundred sixty-eight billion, two hundred forty million, eight hundred forty-two thousand, one hundred".