314312123400 has 96 divisors (see below), whose sum is σ = 1062946476000. Its totient is φ = 76196876800.

The previous prime is 314312123383. The next prime is 314312123417. The reversal of 314312123400 is 4321213413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (314312123383) and next prime (314312123417).

It is a super-2 number, since 2×314312123400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23804925 + ... + 23818124.

It is an arithmetic number, because the mean of its divisors is an integer number (11072359125).

Almost surely, 2^314312123400 is an apocalyptic number.

314312123400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314312123400 is an abundant number, since it is smaller than the sum of its proper divisors (748634352600).

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

314312123400 is a wasteful number, since it uses less digits than its factorization.

314312123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47623079 (or 47623070 counting only the distinct ones).

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

Adding to 314312123400 its reverse (4321213413), we get a palindrome (318633336813).

The spelling of 314312123400 in words is "three hundred fourteen billion, three hundred twelve million, one hundred twenty-three thousand, four hundred".