1231014400 has 240 divisors, whose sum is σ = 3805560000. Its totient is φ = 383385600.

The previous prime is 1231014377. The next prime is 1231014439. The reversal of 1231014400 is 44101321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984976 + ... + 986224.

It is an arithmetic number, because the mean of its divisors is an integer number (15856500).

Almost surely, 2^1231014400 is an apocalyptic number.

1231014400 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 1231014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902780000).

1231014400 is an abundant number, since it is smaller than the sum of its proper divisors (2574545600).

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

1231014400 is a wasteful number, since it uses less digits than its factorization.

1231014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1231014400 is about 35085.8147974363. The cubic root of 1231014400 is about 1071.7357334779.

Adding to 1231014400 its reverse (44101321), we get a palindrome (1275115721).

The spelling of 1231014400 in words is "one billion, two hundred thirty-one million, fourteen thousand, four hundred".