230122112400 has 240 divisors, whose sum is σ = 819423942400. Its totient is φ = 61338954240.

The previous prime is 230122112377. The next prime is 230122112443. The reversal of 230122112400 is 4211221032.

It is a happy number.

230122112400 is a `hidden beast` number, since 2 + 30 + 1 + 221 + 12 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 42322482 + ... + 42327918.

Almost surely, 2^230122112400 is an apocalyptic number.

230122112400 is a gapful number since it is divisible by the number (20) 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 230122112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409711971200).

230122112400 is an abundant number, since it is smaller than the sum of its proper divisors (589301830000).

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

230122112400 is a wasteful number, since it uses less digits than its factorization.

230122112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9383 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 230122112400 its reverse (4211221032), we get a palindrome (234333333432).

The spelling of 230122112400 in words is "two hundred thirty billion, one hundred twenty-two million, one hundred twelve thousand, four hundred".