21224433442212 has 1152 divisors, whose sum is σ = 79102376091648. Its totient is φ = 4614241075200.

The previous prime is 21224433442187. The next prime is 21224433442319.

21224433442212 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 433 + 4 + 4 + 2 + 212 = 666.

21224433442212 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×21224433442212³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2334659787 + ... + 2334668877.

It is an arithmetic number, because the mean of its divisors is an integer number (68665257024).

Almost surely, 2^{21224433442212} is an apocalyptic number.

21224433442212 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 21224433442212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39551188045824).

21224433442212 is an abundant number, since it is smaller than the sum of its proper divisors (57877942649436).

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

21224433442212 is a wasteful number, since it uses less digits than its factorization.

21224433442212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9289 (or 9284 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 2122443 and 3442212, that added together give a palindrome (5564655).

The spelling of 21224433442212 in words is "twenty-one trillion, two hundred twenty-four billion, four hundred thirty-three million, four hundred forty-two thousand, two hundred twelve".