3112220100000 has 288 divisors, whose sum is σ = 11139632142912. Its totient is φ = 754476800000.

The previous prime is 3112220099987. The next prime is 3112220100019. The reversal of 3112220100000 is 10222113.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828452 + ... + 3771548.

It is an arithmetic number, because the mean of its divisors is an integer number (38679278274).

Almost surely, 2^{3112220100000} is an apocalyptic number.

3112220100000 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 3112220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569816071456).

3112220100000 is an abundant number, since it is smaller than the sum of its proper divisors (8027412042912).

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

3112220100000 is an equidigital number, since it uses as much as digits as its factorization.

3112220100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943146 (or 943118 counting only the distinct ones).

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

Adding to 3112220100000 its reverse (10222113), we get a palindrome (3112230322113).

The spelling of 3112220100000 in words is "three trillion, one hundred twelve billion, two hundred twenty million, one hundred thousand".