123812100 has 108 divisors (see below), whose sum is σ = 396474624. Its totient is φ = 32303040.

The previous prime is 123812089. The next prime is 123812137. The reversal of 123812100 is 1218321.

It is a super-2 number, since 2×123812100² = 30658872212820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40837 + ... + 43763.

Almost surely, 2^123812100 is an apocalyptic number.

123812100 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 123812100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198237312).

123812100 is an abundant number, since it is smaller than the sum of its proper divisors (272662524).

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

123812100 is a wasteful number, since it uses less digits than its factorization.

123812100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 123812100 is about 11127.0885679948. The cubic root of 123812100 is about 498.4110894082.

The spelling of 123812100 in words is "one hundred twenty-three million, eight hundred twelve thousand, one hundred".