3122132400 has 90 divisors (see below), whose sum is σ = 10834679180. Its totient is φ = 832567680.

The previous prime is 3122132393. The next prime is 3122132407. The reversal of 3122132400 is 42312213.

It is an interprime number because it is at equal distance from previous prime (3122132393) and next prime (3122132407).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3122132407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 430030 + ... + 437229.

Almost surely, 2^3122132400 is an apocalyptic number.

3122132400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3122132400 is an abundant number, since it is smaller than the sum of its proper divisors (7712546780).

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

3122132400 is a wasteful number, since it uses less digits than its factorization.

3122132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867283 (or 867269 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3122132400 is about 55876.0449566717. The cubic root of 3122132400 is about 1461.5615368755.

Adding to 3122132400 its reverse (42312213), we get a palindrome (3164444613).

The spelling of 3122132400 in words is "three billion, one hundred twenty-two million, one hundred thirty-two thousand, four hundred".