123336794604100 has 243 divisors, whose sum is σ = 342237464561181. Its totient is φ = 38439971908800.

The previous prime is 123336794604097. The next prime is 123336794604203. The reversal of 123336794604100 is 1406497633321.

The square root of 123336794604100 is 11105710.

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., 44401246057476 + 78935548546624 = 6663426^2 + 8884568^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8551389489 + ... + 8551403911.

Almost surely, 2^{123336794604100} is an apocalyptic number.

123336794604100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123336794604100 is the 11105710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123336794604100

123336794604100 is an abundant number, since it is smaller than the sum of its proper divisors (218900669957081).

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

123336794604100 is an equidigital number, since it uses as much as digits as its factorization.

123336794604100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28896 (or 14448 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 49.

123336794604100 divided by its sum of digits (49) gives a square (2517077440900 = 1586530²).

The spelling of 123336794604100 in words is "one hundred twenty-three trillion, three hundred thirty-six billion, seven hundred ninety-four million, six hundred four thousand, one hundred".