312201434324340 has 72 divisors (see below), whose sum is σ = 1033102928134368. Its totient is φ = 75685196199360.

The previous prime is 312201434324323. The next prime is 312201434324369. The reversal of 312201434324340 is 43423434102213.

312201434324340 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 0 + 143 + 432 + 43 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 312201434324295 and 312201434324304.

It is a congruent number.

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, 78838744062 + ... + 78838748021.

It is an arithmetic number, because the mean of its divisors is an integer number (14348651779644).

Almost surely, 2^{312201434324340} is an apocalyptic number.

312201434324340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312201434324340 is an abundant number, since it is smaller than the sum of its proper divisors (720901493810028).

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

312201434324340 is a wasteful number, since it uses less digits than its factorization.

312201434324340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157677492109 (or 157677492104 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 312201434324340 its reverse (43423434102213), we get a palindrome (355624868426553).

The spelling of 312201434324340 in words is "three hundred twelve trillion, two hundred one billion, four hundred thirty-four million, three hundred twenty-four thousand, three hundred forty".