3122113200 has 60 divisors (see below), whose sum is σ = 10001173128. Its totient is φ = 832563200.

The previous prime is 3122113177. The next prime is 3122113213. The reversal of 3122113200 is 23112213.

3122113200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3122113200² = 19495181667228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3122113200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1299681 + ... + 1302080.

Almost surely, 2^3122113200 is an apocalyptic number.

3122113200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3122113200 is an abundant number, since it is smaller than the sum of its proper divisors (6879059928).

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

3122113200 is a wasteful number, since it uses less digits than its factorization.

3122113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601782 (or 2601771 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3122113200 is about 55875.8731475402. The cubic root of 3122113200 is about 1461.5585408421.

Adding to 3122113200 its reverse (23112213), we get a palindrome (3145225413).

It can be divided in two parts, 3 and 122113200, that multiplied together give a square (366339600 = 19140²).

The spelling of 3122113200 in words is "three billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred".