1231944000 has 224 divisors, whose sum is σ = 4649638656. Its totient is φ = 281548800.

The previous prime is 1231943959. The next prime is 1231944001. The reversal of 1231944000 is 4491321.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231944001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164334 + ... + 171666.

Almost surely, 2^1231944000 is an apocalyptic number.

1231944000 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 1231944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324819328).

1231944000 is an abundant number, since it is smaller than the sum of its proper divisors (3417694656).

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

1231944000 is an equidigital number, since it uses as much as digits as its factorization.

1231944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7370 (or 7350 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1231944000 is about 35099.0598164680. The cubic root of 1231944000 is about 1072.0054391942.

The spelling of 1231944000 in words is "one billion, two hundred thirty-one million, nine hundred forty-four thousand".