2214328234122 has 144 divisors (see below), whose sum is σ = 5121141592320. Its totient is φ = 690074985600.

The previous prime is 2214328234093. The next prime is 2214328234123.

2214328234122 is a `hidden beast` number, since 2 + 2 + 14 + 3 + 282 + 341 + 22 = 666.

2214328234122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2214328234122² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2214328234123) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 333630588 + ... + 333637224.

It is an arithmetic number, because the mean of its divisors is an integer number (35563483280).

Almost surely, 2^{2214328234122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214328234122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560570796160).

2214328234122 is an abundant number, since it is smaller than the sum of its proper divisors (2906813358198).

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

2214328234122 is a wasteful number, since it uses less digits than its factorization.

2214328234122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6949 (or 6845 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 2214328234122 in words is "two trillion, two hundred fourteen billion, three hundred twenty-eight million, two hundred thirty-four thousand, one hundred twenty-two".