123126900 has 144 divisors (see below), whose sum is σ = 388183488. Its totient is φ = 29952000.

The previous prime is 123126893. The next prime is 123126917. The reversal of 123126900 is 9621321.

It is a super-2 number, since 2×123126900² = 30320467007220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510780 + ... + 511020.

Almost surely, 2^123126900 is an apocalyptic number.

123126900 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 123126900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194091744).

123126900 is an abundant number, since it is smaller than the sum of its proper divisors (265056588).

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

123126900 is a wasteful number, since it uses less digits than its factorization.

123126900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 123126900 is about 11096.2561253785. The cubic root of 123126900 is about 497.4899537545.

The spelling of 123126900 in words is "one hundred twenty-three million, one hundred twenty-six thousand, nine hundred".