312403101320400 has 120 divisors (see below), whose sum is σ = 1024004088249120. Its totient is φ = 81370110097920.

The previous prime is 312403101320339. The next prime is 312403101320489. The reversal of 312403101320400 is 4023101304213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3027110235 + ... + 3027213434.

It is an arithmetic number, because the mean of its divisors is an integer number (8533367402076).

Almost surely, 2^{312403101320400} is an apocalyptic number.

312403101320400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312403101320400 is an abundant number, since it is smaller than the sum of its proper divisors (711600986928720).

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

312403101320400 is a wasteful number, since it uses less digits than its factorization.

312403101320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054323733 (or 6054323722 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312403101320400 its reverse (4023101304213), we get a palindrome (316426202624613).

The spelling of 312403101320400 in words is "three hundred twelve trillion, four hundred three billion, one hundred one million, three hundred twenty thousand, four hundred".