21622220001024 has 288 divisors, whose sum is σ = 59532881286144. Its totient is φ = 6961582817280.

The previous prime is 21622220000939. The next prime is 21622220001071. The reversal of 21622220001024 is 42010002222612.

It is a super-2 number, since 2×21622220001024² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21622220000985 and 21622220001003.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5062564009 + ... + 5062568279.

Almost surely, 2^{21622220001024} is an apocalyptic number.

21622220001024 is a gapful number since it is divisible by the number (24) 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 21622220001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29766440643072).

21622220001024 is an abundant number, since it is smaller than the sum of its proper divisors (37910661285120).

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

21622220001024 is a wasteful number, since it uses less digits than its factorization.

21622220001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21622220001024 its reverse (42010002222612), we get a palindrome (63632222223636).

The spelling of 21622220001024 in words is "twenty-one trillion, six hundred twenty-two billion, two hundred twenty million, one thousand, twenty-four".