123234643232100 has 729 divisors, whose sum is σ = 405466310563587. Its totient is φ = 31306195906560.

The previous prime is 123234643232059. The next prime is 123234643232117. The reversal of 123234643232100 is 1232346432321.

The square root of 123234643232100 is 11101110.

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

123234643232100 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 3 + 4 + 6 + 432 + 3 + 210 + 0 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 98066200454244 + 25168442777856 = 9902838^2 + 5016816^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 899522943232 + ... + 899522943368.

Almost surely, 2^{123234643232100} is an apocalyptic number.

123234643232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123234643232100 is the 11101110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123234643232100

123234643232100 is an abundant number, since it is smaller than the sum of its proper divisors (282231667331487).

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

123234643232100 is a wasteful number, since it uses less digits than its factorization.

123234643232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

123234643232100 divided by its sum of digits (36) gives a square (3423184534225 = 1850185²).

Adding to 123234643232100 its reverse (1232346432321), we get a palindrome (124466989664421).

123234643232100 divided by its reverse (1232346432321) gives a square (100 = 10²).

The spelling of 123234643232100 in words is "one hundred twenty-three trillion, two hundred thirty-four billion, six hundred forty-three million, two hundred thirty-two thousand, one hundred".