12400310322400 has 864 divisors, whose sum is σ = 42706226626560. Its totient is φ = 3452585472000.

The previous prime is 12400310322391. The next prime is 12400310322409. The reversal of 12400310322400 is 422301300421.

It is an interprime number because it is at equal distance from previous prime (12400310322391) and next prime (12400310322409).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400310322409) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 173737921 + ... + 173809279.

It is an arithmetic number, because the mean of its divisors is an integer number (49428503040).

Almost surely, 2^{12400310322400} is an apocalyptic number.

12400310322400 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 12400310322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21353113313280).

12400310322400 is an abundant number, since it is smaller than the sum of its proper divisors (30305916304160).

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

12400310322400 is a wasteful number, since it uses less digits than its factorization.

12400310322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71448 (or 71428 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12400310322400 its reverse (422301300421), we get a palindrome (12822611622821).

The spelling of 12400310322400 in words is "twelve trillion, four hundred billion, three hundred ten million, three hundred twenty-two thousand, four hundred".