3112122000 has 320 divisors, whose sum is σ = 11445767424. Its totient is φ = 720691200.

The previous prime is 3112121993. The next prime is 3112122001. The reversal of 3112122000 is 2212113.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3112122001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1324827 + ... + 1327173.

Almost surely, 2^3112122000 is an apocalyptic number.

3112122000 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 3112122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722883712).

3112122000 is an abundant number, since it is smaller than the sum of its proper divisors (8333645424).

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

3112122000 is a wasteful number, since it uses less digits than its factorization.

3112122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3112122000 is about 55786.3961911863. The cubic root of 3112122000 is about 1459.9978107179.

Adding to 3112122000 its reverse (2212113), we get a palindrome (3114334113).

The spelling of 3112122000 in words is "three billion, one hundred twelve million, one hundred twenty-two thousand".