3120200000010 has 96 divisors (see below), whose sum is σ = 8350337595600. Its totient is φ = 807761977344.

The previous prime is 3120199999981. The next prime is 3120200000051. The reversal of 3120200000010 is 100000020213.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1861120764441 + 1259079235569 = 1364229^2 + 1122087^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3120199999938 and 3120200000001.

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, 451744 + ... + 2538596.

Almost surely, 2^{3120200000010} is an apocalyptic number.

3120200000010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3120200000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175168797800).

3120200000010 is an abundant number, since it is smaller than the sum of its proper divisors (5230137595590).

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

3120200000010 is a wasteful number, since it uses less digits than its factorization.

3120200000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087352 (or 2087349 counting only the distinct ones).

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

Adding to 3120200000010 its reverse (100000020213), we get a palindrome (3220200020223).

The spelling of 3120200000010 in words is "three trillion, one hundred twenty billion, two hundred million, ten", and thus it is an aban number.