3199120000 has 80 divisors (see below), whose sum is σ = 7964208450. Its totient is φ = 1279616000.

The previous prime is 3199119971. The next prime is 3199120033. The reversal of 3199120000 is 219913.

3199120000 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 20866624 + 3178253376 = 4568^2 + 56376^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 60006 + ... + 99994.

Almost surely, 2^3199120000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3199120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982104225).

3199120000 is an abundant number, since it is smaller than the sum of its proper divisors (4765088450).

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

3199120000 is an frugal number, since it uses more digits than its factorization.

3199120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40023 (or 39996 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 3199120000 is about 56560.7637855077. The cubic root of 3199120000 is about 1473.4775059169.

Adding to 3199120000 its reverse (219913), we get a palindrome (3199339913).

The spelling of 3199120000 in words is "three billion, one hundred ninety-nine million, one hundred twenty thousand".