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22011122210112 = 2632759791171231
BaseRepresentation
bin1010000000100110111010…
…00111101101010101000000
32212221020112221201011121200
411000103131013231111000
510341112234241210422
6114451434150421200
74431152061530340
oct500233507552500
985836487634550
1022011122210112
117016956727a02
122575aa0361800
13c38841b91609
145614b5d10d20
1528285e4e32ac
hex1404dd1ed540

22011122210112 has 336 divisors, whose sum is σ = 74254234828800. Its totient is φ = 6104038487040.

The previous prime is 22011122210093. The next prime is 22011122210113. The reversal of 22011122210112 is 21101222111022.

Adding to 22011122210112 its reverse (21101222111022), we get a palindrome (43112344321134).

22011122210112 is a `hidden beast` number, since 220 + 1 + 1 + 122 + 210 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011122210113) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18207537 + ... + 19378767.

Almost surely, 222011122210112 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 22011122210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37127117414400).

22011122210112 is an abundant number, since it is smaller than the sum of its proper divisors (52243112618688).

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

22011122210112 is a wasteful number, since it uses less digits than its factorization.

22011122210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171394 (or 1171381 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 22011122210112 in words is "twenty-two trillion, eleven billion, one hundred twenty-two million, two hundred ten thousand, one hundred twelve".