123026441264100 has 216 divisors, whose sum is σ = 421704428876640. Its totient is φ = 29751670080000.

The previous prime is 123026441263969. The next prime is 123026441264107. The reversal of 123026441264100 is 1462144620321.

123026441264100 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 2 + 6 + 4 + 4 + 1 + 2 + 641 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (123026441264107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11142726 + ... + 19240925.

Almost surely, 2^{123026441264100} is an apocalyptic number.

123026441264100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123026441264100 is an abundant number, since it is smaller than the sum of its proper divisors (298677987612540).

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

123026441264100 is a wasteful number, since it uses less digits than its factorization.

123026441264100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30384091 (or 30384081 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 123026441264100 its reverse (1462144620321), we get a palindrome (124488585884421).

The spelling of 123026441264100 in words is "one hundred twenty-three trillion, twenty-six billion, four hundred forty-one million, two hundred sixty-four thousand, one hundred".