123120100 has 18 divisors (see below), whose sum is σ = 267170834. Its totient is φ = 49248000.

The previous prime is 123120091. The next prime is 123120131. The reversal of 123120100 is 1021321.

It can be written as a sum of positive squares in 3 ways, for example, as 43264 + 123076836 = 208^2 + 11094^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 615501 + ... + 615700.

Almost surely, 2^123120100 is an apocalyptic number.

123120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123120100 is an abundant number, since it is smaller than the sum of its proper divisors (144050734).

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

123120100 is a wasteful number, since it uses less digits than its factorization.

123120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231215 (or 1231208 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 123120100 is about 11095.9497114938. The cubic root of 123120100 is about 497.4807951982.

Adding to 123120100 its reverse (1021321), we get a palindrome (124141421).

The spelling of 123120100 in words is "one hundred twenty-three million, one hundred twenty thousand, one hundred".