3122133000 has 384 divisors, whose sum is σ = 11536836480. Its totient is φ = 700761600.

The previous prime is 3122132989. The next prime is 3122133019. The reversal of 3122133000 is 3312213.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 9848842 + ... + 9849158.

It is an arithmetic number, because the mean of its divisors is an integer number (30043845).

Almost surely, 2^3122133000 is an apocalyptic number.

3122133000 is a gapful number since it is divisible by the number (30) 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 3122133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768418240).

3122133000 is an abundant number, since it is smaller than the sum of its proper divisors (8414703480).

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

3122133000 is a wasteful number, since it uses less digits than its factorization.

3122133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3122133000 is about 55876.0503256986. The cubic root of 3122133000 is about 1461.5616305014.

Adding to 3122133000 its reverse (3312213), we get a palindrome (3125445213).

It can be divided in two parts, 312 and 2133000, that added together give a palindrome (2133312).

The spelling of 3122133000 in words is "three billion, one hundred twenty-two million, one hundred thirty-three thousand".