232121400 has 192 divisors, whose sum is σ = 871015680. Its totient is φ = 49920000.

The previous prime is 232121371. The next prime is 232121401. The reversal of 232121400 is 4121232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232121400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232121401) 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, 69775 + ... + 73025.

It is an arithmetic number, because the mean of its divisors is an integer number (4536540).

Almost surely, 2^232121400 is an apocalyptic number.

232121400 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 232121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435507840).

232121400 is an abundant number, since it is smaller than the sum of its proper divisors (638894280).

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

232121400 is a wasteful number, since it uses less digits than its factorization.

232121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 232121400 is about 15235.5308407682. The cubic root of 232121400 is about 614.5705243971.

Adding to 232121400 its reverse (4121232), we get a palindrome (236242632).

The spelling of 232121400 in words is "two hundred thirty-two million, one hundred twenty-one thousand, four hundred".