1231112400 has 240 divisors, whose sum is σ = 4550434944. Its totient is φ = 278691840.

The previous prime is 1231112339. The next prime is 1231112401. The reversal of 1231112400 is 42111321.

It is a tau number, because it is divible by the number of its divisors (240).

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 1231112400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231112401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 948552 + ... + 949848.

Almost surely, 2^1231112400 is an apocalyptic number.

1231112400 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 1231112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275217472).

1231112400 is an abundant number, since it is smaller than the sum of its proper divisors (3319322544).

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

1231112400 is a wasteful number, since it uses less digits than its factorization.

1231112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1231112400 is about 35087.2113454461. The cubic root of 1231112400 is about 1071.7641727106.

Adding to 1231112400 its reverse (42111321), we get a palindrome (1273223721).

The spelling of 1231112400 in words is "one billion, two hundred thirty-one million, one hundred twelve thousand, four hundred".