214402210222112 has 96 divisors (see below), whose sum is σ = 466633163243520. Its totient is φ = 96154488218880.

The previous prime is 214402210222043. The next prime is 214402210222117. The reversal of 214402210222112 is 211222012204412.

It is not an unprimeable number, because it can be changed into a prime (214402210222117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36980513 + ... + 42383519.

It is an arithmetic number, because the mean of its divisors is an integer number (4860762117120).

Almost surely, 2^{214402210222112} is an apocalyptic number.

214402210222112 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 214402210222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233316581621760).

214402210222112 is an abundant number, since it is smaller than the sum of its proper divisors (252230953021408).

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

214402210222112 is a wasteful number, since it uses less digits than its factorization.

214402210222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5404534 (or 5404526 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 214402210222112 its reverse (211222012204412), we get a palindrome (425624222426524).

The spelling of 214402210222112 in words is "two hundred fourteen trillion, four hundred two billion, two hundred ten million, two hundred twenty-two thousand, one hundred twelve".