214221122412 has 144 divisors (see below), whose sum is σ = 574770905856. Its totient is φ = 61469408000.

The previous prime is 214221122411. The next prime is 214221122417.

214221122412 is nontrivially palindromic in base 10.

214221122412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (214221122411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30966778 + ... + 30973694.

It is an arithmetic number, because the mean of its divisors is an integer number (3991464624).

Almost surely, 2^214221122412 is an apocalyptic number.

214221122412 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 214221122412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287385452928).

214221122412 is an abundant number, since it is smaller than the sum of its proper divisors (360549783444).

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

214221122412 is a wasteful number, since it uses less digits than its factorization.

214221122412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7160 (or 7057 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 214221 and 122412, that added together give a palindrome (336633).

The spelling of 214221122412 in words is "two hundred fourteen billion, two hundred twenty-one million, one hundred twenty-two thousand, four hundred twelve".