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120102202200222 = 232112671227097259
BaseRepresentation
bin11011010011101101111001…
…000110010101000010011110
3120202020122202222020201222100
4123103231321012111002132
5111220223302230401342
61103234105012425530
734204045350434364
oct3323557106250236
9522218688221870
10120102202200222
11352a50700a19a0
12115787406182a6
13520278725b368
142192d98781634
15dd4201d93e4c
hex6d3b7919509e

120102202200222 has 48 divisors (see below), whose sum is σ = 283984215240960. Its totient is φ = 36380980731600.

The previous prime is 120102202200217. The next prime is 120102202200229. The reversal of 120102202200222 is 222002202201021.

120102202200222 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 220 + 220 + 0 + 222 = 666.

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 = 120102202200195 and 120102202200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120102202200229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113019772 + ... + 114077487.

It is an arithmetic number, because the mean of its divisors is an integer number (5916337817520).

Almost surely, 2120102202200222 is an apocalyptic number.

120102202200222 is an abundant number, since it is smaller than the sum of its proper divisors (163882013040738).

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

120102202200222 is a wasteful number, since it uses less digits than its factorization.

120102202200222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227099949 (or 227099946 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120102202200222 its reverse (222002202201021), we get a palindrome (342104404401243).

The spelling of 120102202200222 in words is "one hundred twenty trillion, one hundred two billion, two hundred two million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2671 5342 8013 16026 24039 29381 48078 58762 88143 176286 264429 528858 227097259 454194518 681291777 1362583554 2043875331 2498069849 4087750662 4996139698 7494209547 14988419094 22482628641 44965257282 606576778789 1213153557578 1819730336367 3639460672734 5459191009101 6672344566679 10918382018202 13344689133358 20017033700037 40034067400074 60051101100111 120102202200222