1332100032120 has 384 divisors, whose sum is σ = 5100131312640. Its totient is φ = 297275857920.

The previous prime is 1332100032119. The next prime is 1332100032139. The reversal of 1332100032120 is 212300012331.

1332100032120 is a `hidden beast` number, since 1 + 3 + 321 + 0 + 0 + 0 + 321 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1332100032093 and 1332100032102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18857907 + ... + 18928413.

It is an arithmetic number, because the mean of its divisors is an integer number (13281591960).

Almost surely, 2^{1332100032120} is an apocalyptic number.

1332100032120 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 1332100032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550065656320).

1332100032120 is an abundant number, since it is smaller than the sum of its proper divisors (3768031280520).

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

1332100032120 is a wasteful number, since it uses less digits than its factorization.

1332100032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70915 (or 70908 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1332100032120 its reverse (212300012331), we get a palindrome (1544400044451).

The spelling of 1332100032120 in words is "one trillion, three hundred thirty-two billion, one hundred million, thirty-two thousand, one hundred twenty".