12431122040400 has 240 divisors, whose sum is σ = 45571855369344. Its totient is φ = 2837521520640.

The previous prime is 12431122040369. The next prime is 12431122040411. The reversal of 12431122040400 is 404022113421.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5147722 + ... + 7166678.

Almost surely, 2^{12431122040400} is an apocalyptic number.

12431122040400 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 12431122040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22785927684672).

12431122040400 is an abundant number, since it is smaller than the sum of its proper divisors (33140733328944).

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

12431122040400 is a wasteful number, since it uses less digits than its factorization.

12431122040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019718 (or 2019707 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12431122040400 its reverse (404022113421), we get a palindrome (12835144153821).

The spelling of 12431122040400 in words is "twelve trillion, four hundred thirty-one billion, one hundred twenty-two million, forty thousand, four hundred".