21214122141212 has 144 divisors (see below), whose sum is σ = 51036096192480. Its totient is φ = 7629452812800.

The previous prime is 21214122141209. The next prime is 21214122141227.

21214122141212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21214122141212² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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

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, 2497412 + ... + 6976052.

It is an arithmetic number, because the mean of its divisors is an integer number (354417334670).

Almost surely, 2^{21214122141212} is an apocalyptic number.

21214122141212 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 21214122141212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25518048096240).

21214122141212 is an abundant number, since it is smaller than the sum of its proper divisors (29821974051268).

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

21214122141212 is a wasteful number, since it uses less digits than its factorization.

21214122141212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478709 (or 4478674 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

It can be divided in two parts, 2121412 and 2141212, that added together give a palindrome (4262624).

The spelling of 21214122141212 in words is "twenty-one trillion, two hundred fourteen billion, one hundred twenty-two million, one hundred forty-one thousand, two hundred twelve".