232441122400000 has 216 divisors, whose sum is σ = 614044329428880. Its totient is φ = 87507240960000.

The previous prime is 232441122399991. The next prime is 232441122400087. The reversal of 232441122400000 is 4221144232.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5054371 + ... + 22145629.

It is an arithmetic number, because the mean of its divisors is an integer number (2842797821430).

Almost surely, 2^{232441122400000} is an apocalyptic number.

232441122400000 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 232441122400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307022164714440).

232441122400000 is an abundant number, since it is smaller than the sum of its proper divisors (381603207028880).

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

232441122400000 is an frugal number, since it uses more digits than its factorization.

232441122400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17091317 (or 17091283 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 232441122400000 its reverse (4221144232), we get a palindrome (232445343544232).

The spelling of 232441122400000 in words is "two hundred thirty-two trillion, four hundred forty-one billion, one hundred twenty-two million, four hundred thousand".