120321103211232 has 384 divisors, whose sum is σ = 407895383024640. Its totient is φ = 30134669967360.

The previous prime is 120321103211161. The next prime is 120321103211273. The reversal of 120321103211232 is 232112301123021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161905848 + ... + 162647304.

It is an arithmetic number, because the mean of its divisors is an integer number (1062227559960).

Almost surely, 2^{120321103211232} is an apocalyptic number.

120321103211232 is a gapful number since it is divisible by the number (12) 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 120321103211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203947691512320).

120321103211232 is an abundant number, since it is smaller than the sum of its proper divisors (287574279813408).

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

120321103211232 is a wasteful number, since it uses less digits than its factorization.

120321103211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742274 (or 742266 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 120321103211232 its reverse (232112301123021), we get a palindrome (352433404334253).

The spelling of 120321103211232 in words is "one hundred twenty trillion, three hundred twenty-one billion, one hundred three million, two hundred eleven thousand, two hundred thirty-two".