3145120000 has 180 divisors, whose sum is σ = 8562896496. Its totient is φ = 1143040000.

The previous prime is 3145119983. The next prime is 3145120019. The reversal of 3145120000 is 215413.

3145120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3145120000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1759107 + ... + 1760893.

Almost surely, 2^3145120000 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 3145120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281448248).

3145120000 is an abundant number, since it is smaller than the sum of its proper divisors (5417776496).

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

3145120000 is an equidigital number, since it uses as much as digits as its factorization.

3145120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 3145120000 is about 56081.3694554618. The cubic root of 3145120000 is about 1465.1398252079.

Adding to 3145120000 its reverse (215413), we get a palindrome (3145335413).

The spelling of 3145120000 in words is "three billion, one hundred forty-five million, one hundred twenty thousand".