123252300 has 144 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 32558400.

The previous prime is 123252299. The next prime is 123252301. The reversal of 123252300 is 3252321.

It is an interprime number because it is at equal distance from previous prime (123252299) and next prime (123252301).

It is a super-2 number, since 2×123252300² = 30382258910580000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (123252301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515581 + ... + 515819.

It is an arithmetic number, because the mean of its divisors is an integer number (2777600).

Almost surely, 2^123252300 is an apocalyptic number.

123252300 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 123252300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

123252300 is an abundant number, since it is smaller than the sum of its proper divisors (276722100).

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

123252300 is a wasteful number, since it uses less digits than its factorization.

123252300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 123252300 is about 11101.9052418943. The cubic root of 123252300 is about 497.6587878955.

The spelling of 123252300 in words is "one hundred twenty-three million, two hundred fifty-two thousand, three hundred".