123233625106020 has 576 divisors, whose sum is σ = 454387962954240. Its totient is φ = 27543010176000.

The previous prime is 123233625106019. The next prime is 123233625106057. The reversal of 123233625106020 is 20601526332321.

123233625106020 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 3 + 3 + 62 + 510 + 60 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 697285465 + ... + 697462175.

It is an arithmetic number, because the mean of its divisors is an integer number (788867991240).

Almost surely, 2^{123233625106020} is an apocalyptic number.

123233625106020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123233625106020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227193981477120).

123233625106020 is an abundant number, since it is smaller than the sum of its proper divisors (331154337848220).

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

123233625106020 is a wasteful number, since it uses less digits than its factorization.

123233625106020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177585 (or 177566 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 123233625106020 in words is "one hundred twenty-three trillion, two hundred thirty-three billion, six hundred twenty-five million, one hundred six thousand, twenty".