3120133332032 has 28 divisors (see below), whose sum is σ = 6261082171740. Its totient is φ = 1542537824256.

The previous prime is 3120133331741. The next prime is 3120133332047. The reversal of 3120133332032 is 2302333310213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 616953695296 + 2503179636736 = 785464^2 + 1582144^2 .

It is a super-2 number, since 2×3120133332032² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3120133331992 and 3120133332010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 273882413 + ... + 273893804.

Almost surely, 2^{3120133332032} is an apocalyptic number.

3120133332032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3120133332032 is an abundant number, since it is smaller than the sum of its proper divisors (3140948839708).

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

3120133332032 is an equidigital number, since it uses as much as digits as its factorization.

3120133332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547776318 (or 547776308 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 3120133332032 its reverse (2302333310213), we get a palindrome (5422466642245).

The spelling of 3120133332032 in words is "three trillion, one hundred twenty billion, one hundred thirty-three million, three hundred thirty-two thousand, thirty-two".