120001332000000 has 1008 divisors, whose sum is σ = 439871473323072. Its totient is φ = 28800000000000.

The previous prime is 120001331999999. The next prime is 120001332000041. The reversal of 120001332000000 is 233100021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 120001332000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13331995500 + ... + 13332004500.

It is an arithmetic number, because the mean of its divisors is an integer number (436380429884).

Almost surely, 2^{120001332000000} is an apocalyptic number.

120001332000000 is a gapful number since it is divisible by the number (10) 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 120001332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219935736661536).

120001332000000 is an abundant number, since it is smaller than the sum of its proper divisors (319870141323072).

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

120001332000000 is an frugal number, since it uses more digits than its factorization.

120001332000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9162 (or 9123 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 120001332000000 its reverse (233100021), we get a palindrome (120001565100021).

The spelling of 120001332000000 in words is "one hundred twenty trillion, one billion, three hundred thirty-two million", and thus it is an aban number.