123633172100 has 18 divisors (see below), whose sum is σ = 268283983674. Its totient is φ = 49453268800.

The previous prime is 123633172067. The next prime is 123633172111. The reversal of 123633172100 is 1271336321.

123633172100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1288522816 + 122344649284 = 35896^2 + 349778^2 .

It is a super-2 number, since 2×123633172100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 618165761 + ... + 618165960.

Almost surely, 2^123633172100 is an apocalyptic number.

123633172100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123633172100 is an abundant number, since it is smaller than the sum of its proper divisors (144650811574).

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

123633172100 is a wasteful number, since it uses less digits than its factorization.

123633172100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236331735 (or 1236331728 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The spelling of 123633172100 in words is "one hundred twenty-three billion, six hundred thirty-three million, one hundred seventy-two thousand, one hundred".