312212322033040 has 120 divisors (see below), whose sum is σ = 859258725031224. Its totient is φ = 104798541619200.

The previous prime is 312212322033023. The next prime is 312212322033119. The reversal of 312212322033040 is 40330223212213.

It can be written as a sum of positive squares in 4 ways, for example, as 3614378927104 + 308597943105936 = 1901152^2 + 17566956^2 .

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 23 ways as a sum of consecutive naturals, for example, 1240387201 + ... + 1240638880.

Almost surely, 2^{312212322033040} is an apocalyptic number.

It is an amenable number.

312212322033040 is an abundant number, since it is smaller than the sum of its proper divisors (547046402998184).

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

312212322033040 is a wasteful number, since it uses less digits than its factorization.

312212322033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481026129 (or 2481026112 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 312212322033040 its reverse (40330223212213), we get a palindrome (352542545245253).

The spelling of 312212322033040 in words is "three hundred twelve trillion, two hundred twelve billion, three hundred twenty-two million, thirty-three thousand, forty".