1231142400 has 180 divisors, whose sum is σ = 4406331072. Its totient is φ = 328273920.

The previous prime is 1231142389. The next prime is 1231142447. The reversal of 1231142400 is 42411321.

1231142400 is a `hidden beast` number, since 123 + 1 + 142 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 109857 + ... + 120543.

Almost surely, 2^1231142400 is an apocalyptic number.

1231142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203165536).

1231142400 is an abundant number, since it is smaller than the sum of its proper divisors (3175188672).

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

1231142400 is a wasteful number, since it uses less digits than its factorization.

1231142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10721 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1231142400 is about 35087.6388490306. The cubic root of 1231142400 is about 1071.7728782965.

Adding to 1231142400 its reverse (42411321), we get a palindrome (1273553721).

The spelling of 1231142400 in words is "one billion, two hundred thirty-one million, one hundred forty-two thousand, four hundred".