3110020200000 has 1512 divisors, whose sum is σ = 13325580561384. Its totient is φ = 690923520000.

The previous prime is 3110020199987. The next prime is 3110020200011. The reversal of 3110020200000 is 20200113.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2957189243904 + 152830956096 = 1719648^2 + 390936^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3263399524 + ... + 3263400476.

It is an arithmetic number, because the mean of its divisors is an integer number (8813214657).

Almost surely, 2^{3110020200000} is an apocalyptic number.

3110020200000 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 3110020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662790280692).

3110020200000 is an abundant number, since it is smaller than the sum of its proper divisors (10215560361384).

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

3110020200000 is an equidigital number, since it uses as much as digits as its factorization.

3110020200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 3110020200000 its reverse (20200113), we get a palindrome (3110040400113).

The spelling of 3110020200000 in words is "three trillion, one hundred ten billion, twenty million, two hundred thousand".