214222014142312 has 64 divisors (see below), whose sum is σ = 440839324800000. Its totient is φ = 96783509695680.

The previous prime is 214222014142249. The next prime is 214222014142363. The reversal of 214222014142312 is 213241410222412.

214222014142312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29823889 + ... + 36303007.

It is an arithmetic number, because the mean of its divisors is an integer number (6888114450000).

Almost surely, 2^{214222014142312} is an apocalyptic number.

214222014142312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214222014142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220419662400000).

214222014142312 is an abundant number, since it is smaller than the sum of its proper divisors (226617310657688).

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

214222014142312 is a wasteful number, since it uses less digits than its factorization.

214222014142312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6481414 (or 6481410 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 214222014142312 its reverse (213241410222412), we get a palindrome (427463424364724).

The spelling of 214222014142312 in words is "two hundred fourteen trillion, two hundred twenty-two billion, fourteen million, one hundred forty-two thousand, three hundred twelve".