21220322302212 has 288 divisors, whose sum is σ = 55939715500032. Its totient is φ = 6206312640000.

The previous prime is 21220322302211. The next prime is 21220322302213.

21220322302212 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (21220322302211) and next prime (21220322302213).

It is not an unprimeable number, because it can be changed into a prime (21220322302211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20947997818 + ... + 20947998830.

It is an arithmetic number, because the mean of its divisors is an integer number (194235123264).

Almost surely, 2^{21220322302212} is an apocalyptic number.

21220322302212 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 21220322302212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27969857750016).

21220322302212 is an abundant number, since it is smaller than the sum of its proper divisors (34719393197820).

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

21220322302212 is a wasteful number, since it uses less digits than its factorization.

21220322302212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2122032 and 2302212, that added together give a palindrome (4424244).

The spelling of 21220322302212 in words is "twenty-one trillion, two hundred twenty billion, three hundred twenty-two million, three hundred two thousand, two hundred twelve".