312202012221414 has 224 divisors, whose sum is σ = 806082024996864. Its totient is φ = 88796009229120.

The previous prime is 312202012221317. The next prime is 312202012221493. The reversal of 312202012221414 is 414122210202213.

312202012221414 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 0 + 20 + 1 + 2 + 221 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3706807707 + ... + 3706891929.

It is an arithmetic number, because the mean of its divisors is an integer number (3598580468736).

Almost surely, 2^{312202012221414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312202012221414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403041012498432).

312202012221414 is an abundant number, since it is smaller than the sum of its proper divisors (493880012775450).

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

312202012221414 is a wasteful number, since it uses less digits than its factorization.

312202012221414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85894 (or 85879 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 312202012221414 its reverse (414122210202213), we get a palindrome (726324222423627).

The spelling of 312202012221414 in words is "three hundred twelve trillion, two hundred two billion, twelve million, two hundred twenty-one thousand, four hundred fourteen".