312201434000420 has 24 divisors (see below), whose sum is σ = 657380713860024. Its totient is φ = 124545773131776.

The previous prime is 312201434000411. The next prime is 312201434000431. The reversal of 312201434000420 is 24000434102213.

It can be written as a sum of positive squares in 4 ways, for example, as 10245683988544 + 301955750011876 = 3200888^2 + 17376874^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 312201434000420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20925021629 + ... + 20925036548.

It is an arithmetic number, because the mean of its divisors is an integer number (27390863077501).

Almost surely, 2^{312201434000420} is an apocalyptic number.

It is an amenable number.

312201434000420 is an abundant number, since it is smaller than the sum of its proper divisors (345179279859604).

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

312201434000420 is a wasteful number, since it uses less digits than its factorization.

312201434000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41850058559 (or 41850058557 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 312201434000420 its reverse (24000434102213), we get a palindrome (336201868102633).

The spelling of 312201434000420 in words is "three hundred twelve trillion, two hundred one billion, four hundred thirty-four million, four hundred twenty", and thus it is an aban number.