3130222133120 has 128 divisors (see below), whose sum is σ = 7729662228480. Its totient is φ = 1210901760000.

The previous prime is 3130222133119. The next prime is 3130222133131. The reversal of 3130222133120 is 213312220313.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×3130222133120³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30561995 + ... + 30664245.

It is an arithmetic number, because the mean of its divisors is an integer number (60387986160).

Almost surely, 2^{3130222133120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130222133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864831114240).

3130222133120 is an abundant number, since it is smaller than the sum of its proper divisors (4599440095360).

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

3130222133120 is a wasteful number, since it uses less digits than its factorization.

3130222133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103844 (or 103832 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 3130222133120 its reverse (213312220313), we get a palindrome (3343534353433).

The spelling of 3130222133120 in words is "three trillion, one hundred thirty billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty".