232211221201200 has 240 divisors, whose sum is σ = 749148979968000. Its totient is φ = 61483165286400.

The previous prime is 232211221201177. The next prime is 232211221201237. The reversal of 232211221201200 is 2102122112232.

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

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, 113370160 + ... + 115400240.

It is an arithmetic number, because the mean of its divisors is an integer number (3121454083200).

Almost surely, 2^{232211221201200} is an apocalyptic number.

232211221201200 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 232211221201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374574489984000).

232211221201200 is an abundant number, since it is smaller than the sum of its proper divisors (516937758766800).

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

232211221201200 is a wasteful number, since it uses less digits than its factorization.

232211221201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030780 (or 2030769 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 232211221201200 its reverse (2102122112232), we get a palindrome (234313343313432).

The spelling of 232211221201200 in words is "two hundred thirty-two trillion, two hundred eleven billion, two hundred twenty-one million, two hundred one thousand, two hundred".