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22012121022112 = 2513107494521051
BaseRepresentation
bin1010000000101000110001…
…01001110111111010100000
32212221100010120011002002201
411000110120221313322200
510341121310440201422
6114452121230422544
74431215610352564
oct500243051677240
985840116132081
1022012121022112
11701731950a171
12257611a961a54
13c38970aa3b30
1456156c82d6a4
152828bc03c727
hex140518a77ea0

22012121022112 has 48 divisors (see below), whose sum is σ = 47106097329312. Its totient is φ = 10064492409600.

The previous prime is 22012121022079. The next prime is 22012121022113. The reversal of 22012121022112 is 21122012121022.

It is a super-4 number, since 4×220121210221124 (a number of 54 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22012121022112.

It is not an unprimeable number, because it can be changed into a prime (22012121022113) 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 7 ways as a sum of consecutive naturals, for example, 247216014 + ... + 247305037.

It is an arithmetic number, because the mean of its divisors is an integer number (981377027694).

Almost surely, 222012121022112 is an apocalyptic number.

It is an amenable number.

22012121022112 is an abundant number, since it is smaller than the sum of its proper divisors (25093976307200).

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

22012121022112 is a wasteful number, since it uses less digits than its factorization.

22012121022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494521181 (or 494521173 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 22012121022112 its reverse (21122012121022), we get a palindrome (43134133143134).

The spelling of 22012121022112 in words is "twenty-two trillion, twelve billion, one hundred twenty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 208 214 416 428 856 1391 1712 2782 3424 5564 11128 22256 44512 494521051 989042102 1978084204 3956168408 6428773663 7912336816 12857547326 15824673632 25715094652 51430189304 52913752457 102860378608 105827504914 205720757216 211655009828 423310019656 687878781941 846620039312 1375757563882 1693240078624 2751515127764 5503030255528 11006060511056 22012121022112