1332112032100 has 72 divisors (see below), whose sum is σ = 3072633729480. Its totient is φ = 499549470720.

The previous prime is 1332112032089. The next prime is 1332112032103. The reversal of 1332112032100 is 12302112331.

It can be written as a sum of positive squares in 12 ways, for example, as 8259876 + 1332103772224 = 2874^2 + 1154168^2 .

It is not an unprimeable number, because it can be changed into a prime (1332112032103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1087605 + ... + 1961404.

It is an arithmetic number, because the mean of its divisors is an integer number (42675468465).

Almost surely, 2^{1332112032100} is an apocalyptic number.

1332112032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332112032100 is an abundant number, since it is smaller than the sum of its proper divisors (1740521697380).

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

1332112032100 is a wasteful number, since it uses less digits than its factorization.

1332112032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049297 (or 3049290 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1332112032100 its reverse (12302112331), we get a palindrome (1344414144431).

The spelling of 1332112032100 in words is "one trillion, three hundred thirty-two billion, one hundred twelve million, thirty-two thousand, one hundred".