123642604200 has 384 divisors, whose sum is σ = 413510676480. Its totient is φ = 30484608000.

The previous prime is 123642604153. The next prime is 123642604207. The reversal of 123642604200 is 2406246321.

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

It is not an unprimeable number, because it can be changed into a prime (123642604207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59932369 + ... + 59934431.

It is an arithmetic number, because the mean of its divisors is an integer number (1076850720).

Almost surely, 2^123642604200 is an apocalyptic number.

123642604200 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 123642604200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206755338240).

123642604200 is an abundant number, since it is smaller than the sum of its proper divisors (289868072280).

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

123642604200 is a wasteful number, since it uses less digits than its factorization.

123642604200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 123642604200 in words is "one hundred twenty-three billion, six hundred forty-two million, six hundred four thousand, two hundred".