123261600 has 576 divisors, whose sum is σ = 539965440. Its totient is φ = 23654400.

The previous prime is 123261587. The next prime is 123261613. The reversal of 123261600 is 6162321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123261587) and next prime (123261613).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4250386 + ... + 4250414.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^123261600 is an apocalyptic number.

123261600 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 123261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

123261600 is an abundant number, since it is smaller than the sum of its proper divisors (416703840).

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

123261600 is a wasteful number, since it uses less digits than its factorization.

123261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 123261600 is about 11102.3240810202. The cubic root of 123261600 is about 497.6713045256.

The spelling of 123261600 in words is "one hundred twenty-three million, two hundred sixty-one thousand, six hundred".