1231154400 has 648 divisors, whose sum is σ = 5089596120. Its totient is φ = 257402880.

The previous prime is 1231154377. The next prime is 1231154401. The reversal of 1231154400 is 44511321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231154401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 42453586 + ... + 42453614.

It is an arithmetic number, because the mean of its divisors is an integer number (7854315).

Almost surely, 2^1231154400 is an apocalyptic number.

1231154400 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 1231154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544798060).

1231154400 is an abundant number, since it is smaller than the sum of its proper divisors (3858441720).

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

1231154400 is a wasteful number, since it uses less digits than its factorization.

1231154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1231154400 is about 35087.8098490060. The cubic root of 1231154400 is about 1071.7763604912.

Adding to 1231154400 its reverse (44511321), we get a palindrome (1275665721).

The spelling of 1231154400 in words is "one billion, two hundred thirty-one million, one hundred fifty-four thousand, four hundred".