3123311220000 has 540 divisors, whose sum is σ = 11602735478334. Its totient is φ = 796646400000.

The previous prime is 3123311219989. The next prime is 3123311220053. The reversal of 3123311220000 is 221133213.

3123311220000 is a `hidden beast` number, since 312 + 331 + 1 + 2 + 20 + 0 + 0 + 0 = 666.

3123311220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 21640763664 + 3101670456336 = 147108^2 + 1761156^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 95203600 + ... + 95236400.

Almost surely, 2^{3123311220000} is an apocalyptic number.

3123311220000 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 3123311220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801367739167).

3123311220000 is an abundant number, since it is smaller than the sum of its proper divisors (8479424258334).

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

3123311220000 is a wasteful number, since it uses less digits than its factorization.

3123311220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32883 (or 32834 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3123311220000 its reverse (221133213), we get a palindrome (3123532353213).

The spelling of 3123311220000 in words is "three trillion, one hundred twenty-three billion, three hundred eleven million, two hundred twenty thousand".