22012022021004 has 240 divisors, whose sum is σ = 60505534172160. Its totient is φ = 6969719157120.

The previous prime is 22012022020943. The next prime is 22012022021047. The reversal of 22012022021004 is 40012022021022.

22012022021004 is a `hidden beast` number, since 220 + 12 + 0 + 220 + 210 + 0 + 4 = 666.

It is a super-2 number, since 2×22012022021004² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117049219 + ... + 117237125.

It is an arithmetic number, because the mean of its divisors is an integer number (252106392384).

Almost surely, 2^{22012022021004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22012022021004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30252767086080).

22012022021004 is an abundant number, since it is smaller than the sum of its proper divisors (38493512151156).

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

22012022021004 is a wasteful number, since it uses less digits than its factorization.

22012022021004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188170 (or 188159 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22012022021004 its sum of digits (18), we get a palindrome (22012022021022).

Adding to 22012022021004 its reverse (40012022021022), we get a palindrome (62024044042026).

The spelling of 22012022021004 in words is "twenty-two trillion, twelve billion, twenty-two million, twenty-one thousand, four".