2027312235312 has 480 divisors, whose sum is σ = 6760691163072. Its totient is φ = 518492233728.

The previous prime is 2027312235307. The next prime is 2027312235323. The reversal of 2027312235312 is 2135322137202.

2027312235312 is an astonishing number since 2027312235312 = 235312 + ... + 2027312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 358623078 + ... + 358628730.

Almost surely, 2^{2027312235312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2027312235312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380345581536).

2027312235312 is an abundant number, since it is smaller than the sum of its proper divisors (4733378927760).

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

2027312235312 is a wasteful number, since it uses less digits than its factorization.

2027312235312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045 (or 6032 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 2027312235312 in words is "two trillion, twenty-seven billion, three hundred twelve million, two hundred thirty-five thousand, three hundred twelve".