312434201401200 has 180 divisors, whose sum is σ = 1084384290543840. Its totient is φ = 83304197237760.

The previous prime is 312434201401187. The next prime is 312434201401261. The reversal of 312434201401200 is 2104102434213.

312434201401200 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 34 + 20 + 1 + 401 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×312434201401200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19862041 + ... + 31927559.

It is an arithmetic number, because the mean of its divisors is an integer number (6024357169688).

Almost surely, 2^{312434201401200} is an apocalyptic number.

312434201401200 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 312434201401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542192145271920).

312434201401200 is an abundant number, since it is smaller than the sum of its proper divisors (771950089142640).

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

312434201401200 is a wasteful number, since it uses less digits than its factorization.

312434201401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12072736 (or 12072722 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 312434201401200 its reverse (2104102434213), we get a palindrome (314538303835413).

The spelling of 312434201401200 in words is "three hundred twelve trillion, four hundred thirty-four billion, two hundred one million, four hundred one thousand, two hundred".