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22011122120020 = 225111931886719157
BaseRepresentation
bin1010000000100110111010…
…00111010111010101010100
32212221020112221112121000221
411000103131013113111110
510341112234230320040
6114451434144444124
74431152061003565
oct500233507272524
985836487477027
1022011122120020
117016956676250
122575aa0319644
13c38841b5c5c7
145614b5cca16c
1528285e4c674a
hex1404dd1d7554

22011122120020 has 192 divisors, whose sum is σ = 54800732528640. Its totient is φ = 7336962547200.

The previous prime is 22011122119981. The next prime is 22011122120063. The reversal of 22011122120020 is 2002122111022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22011122119976 and 22011122120003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1148976282 + ... + 1148995438.

It is an arithmetic number, because the mean of its divisors is an integer number (285420481920).

Almost surely, 222011122120020 is an apocalyptic number.

22011122120020 is a gapful number since it is divisible by the number (20) 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 22011122120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27400366264320).

22011122120020 is an abundant number, since it is smaller than the sum of its proper divisors (32789610408620).

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

22011122120020 is a wasteful number, since it uses less digits than its factorization.

22011122120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28094 (or 28092 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22011122120020 its reverse (2002122111022), we get a palindrome (24013244231042).

The spelling of 22011122120020 in words is "twenty-two trillion, eleven billion, one hundred twenty-two million, one hundred twenty thousand, twenty".