123967200 has 288 divisors, whose sum is σ = 473969664. Its totient is φ = 27555840.

The previous prime is 123967187. The next prime is 123967211. The reversal of 123967200 is 2769321.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 789522 + ... + 789678.

It is an arithmetic number, because the mean of its divisors is an integer number (1645728).

Almost surely, 2^123967200 is an apocalyptic number.

123967200 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 123967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236984832).

123967200 is an abundant number, since it is smaller than the sum of its proper divisors (350002464).

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

123967200 is a wasteful number, since it uses less digits than its factorization.

123967200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 123967200 is about 11134.0558647781. The cubic root of 123967200 is about 498.6191232027.

The spelling of 123967200 in words is "one hundred twenty-three million, nine hundred sixty-seven thousand, two hundred".