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12122200112200 = 2352114809527929
BaseRepresentation
bin1011000001100110101101…
…1011100111110001001000
31120220212111222010222211221
42300121223123213301020
53042102231212042300
641440510054331424
72360541263562133
oct260315333476110
946825458128757
1012122200112200
113953aa5a35872
121439444359b74
1369c170647699
142dca091d121a
151604d611631a
hexb066b6e7c48

12122200112200 has 48 divisors (see below), whose sum is σ = 28184414134500. Its totient is φ = 4848828625920.

The previous prime is 12122200112171. The next prime is 12122200112291. The reversal of 12122200112200 is 221100222121.

It is a happy number.

12122200112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9717821144964 + 2404378967236 = 3117342^2 + 1550606^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22697836 + ... + 23225764.

Almost surely, 212122200112200 is an apocalyptic number.

12122200112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122200112200 is an abundant number, since it is smaller than the sum of its proper divisors (16062214022300).

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

12122200112200 is a wasteful number, since it uses less digits than its factorization.

12122200112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642754 (or 642745 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12122200112200 its reverse (221100222121), we get a palindrome (12343300334321).

The spelling of 12122200112200 in words is "twelve trillion, one hundred twenty-two billion, two hundred million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 114809 229618 459236 527929 574045 918472 1055858 1148090 2111716 2296180 2639645 2870225 4223432 4592360 5279290 5740450 10558580 11480900 13198225 21117160 22961800 26396450 52792900 105585800 60611000561 121222001122 242444002244 303055002805 484888004488 606110005610 1212220011220 1515275014025 2424440022440 3030550028050 6061100056100 12122200112200