312400034230200 has 384 divisors, whose sum is σ = 1112013004945920. Its totient is φ = 71069007052800.

The previous prime is 312400034230189. The next prime is 312400034230331. The reversal of 312400034230200 is 2032430004213.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1798592559 + ... + 1798766241.

It is an arithmetic number, because the mean of its divisors is an integer number (2895867200380).

Almost surely, 2^{312400034230200} is an apocalyptic number.

312400034230200 is a gapful number since it is divisible by the number (30) 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 312400034230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556006502472960).

312400034230200 is an abundant number, since it is smaller than the sum of its proper divisors (799612970715720).

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

312400034230200 is a wasteful number, since it uses less digits than its factorization.

312400034230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175727 (or 175718 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 312400034230200 its reverse (2032430004213), we get a palindrome (314432464234413).

The spelling of 312400034230200 in words is "three hundred twelve trillion, four hundred billion, thirty-four million, two hundred thirty thousand, two hundred".