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22122120122120 = 235619066442673
BaseRepresentation
bin1010000011110101101010…
…00111001000111100001000
32220022212001120212022220202
411001322311013020330020
510344422100222401440
6115014432305111332
74442161521314264
oct501726507107410
986285046768822
1022122120122120
117059a360a5087
1225934b9328548
13c461510471a5
14566a0585b0a4
152856a9008615
hex141eb51c8f08

22122120122120 has 32 divisors (see below), whose sum is σ = 50590750120920. Its totient is φ = 8703784965120.

The previous prime is 22122120122099. The next prime is 22122120122143. The reversal of 22122120122120 is 2122102122122.

It can be written as a sum of positive squares in 4 ways, for example, as 15038527226116 + 7083592896004 = 3877954^2 + 2661502^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22122120122092 and 22122120122101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4533218897 + ... + 4533223776.

Almost surely, 222122120122120 is an apocalyptic number.

22122120122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122120122120 is an abundant number, since it is smaller than the sum of its proper divisors (28468629998800).

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

22122120122120 is a wasteful number, since it uses less digits than its factorization.

22122120122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9066442745 (or 9066442741 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22122120122120 its reverse (2122102122122), we get a palindrome (24244222244242).

The spelling of 22122120122120 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 9066442673 18132885346 36265770692 45332213365 72531541384 90664426730 181328853460 362657706920 553053003053 1106106006106 2212212012212 2765265015265 4424424024424 5530530030530 11061060061060 22122120122120