214214000112 has 240 divisors, whose sum is σ = 757336482720. Its totient is φ = 57603667968.

The previous prime is 214214000089. The next prime is 214214000141. The reversal of 214214000112 is 211000412412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62218 + ... + 657494.

It is an arithmetic number, because the mean of its divisors is an integer number (3155568678).

Almost surely, 2^214214000112 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 214214000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378668241360).

214214000112 is an abundant number, since it is smaller than the sum of its proper divisors (543122482608).

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

214214000112 is a wasteful number, since it uses less digits than its factorization.

214214000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595325 (or 595306 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 214214000112 its reverse (211000412412), we get a palindrome (425214412524).

The spelling of 214214000112 in words is "two hundred fourteen billion, two hundred fourteen million, one hundred twelve", and thus it is an aban number.