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2112120120222 = 232716762858097
BaseRepresentation
bin11110101111000100001…
…010110110001110011110
321110220202021122002112100
4132233010022312032132
5234101110222321342
64254143344145530
7305411206542030
oct36570412661636
97426667562470
102112120120222
11744821821672
122a14149082a6
13124231075188
1474327479c50
1539e1b2b3e4c
hex1ebc42b639e

2112120120222 has 24 divisors (see below), whose sum is σ = 5230011726576. Its totient is φ = 603462891456.

The previous prime is 2112120120191. The next prime is 2112120120239. The reversal of 2112120120222 is 2220210212112.

It is a happy number.

2112120120222 is a `hidden beast` number, since 211 + 212 + 0 + 1 + 20 + 222 = 666.

It is a super-2 number, since 2×21121201202222 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2112120120195 and 2112120120204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8381428923 + ... + 8381429174.

It is an arithmetic number, because the mean of its divisors is an integer number (217917155274).

Almost surely, 22112120120222 is an apocalyptic number.

2112120120222 is an abundant number, since it is smaller than the sum of its proper divisors (3117891606354).

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

2112120120222 is a wasteful number, since it uses less digits than its factorization.

2112120120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16762858112 (or 16762858109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2112120120222 its reverse (2220210212112), we get a palindrome (4332330332334).

The spelling of 2112120120222 in words is "two trillion, one hundred twelve billion, one hundred twenty million, one hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 16762858097 33525716194 50288574291 100577148582 117340006679 150865722873 234680013358 301731445746 352020020037 704040040074 1056060060111 2112120120222