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12211212132200 = 235261056060661
BaseRepresentation
bin1011000110110010010011…
…1101100001111101101000
31121020101021100222010012102
42301230210331201331220
53100032030301212300
641545430423032532
72400142135346414
oct261544475417550
947211240863172
1012211212132200
1139888229a2964
12145274629b748
136a768787a8c3
14303050bcdd44
151629958880d5
hexb1b24f61f68

12211212132200 has 24 divisors (see below), whose sum is σ = 28391068207830. Its totient is φ = 4884484852800.

The previous prime is 12211212132193. The next prime is 12211212132233. The reversal of 12211212132200 is 223121211221.

It can be written as a sum of positive squares in 3 ways, for example, as 5555854411396 + 6655357720804 = 2357086^2 + 2579798^2 .

It is a super-2 number, since 2×122112121322002 (a number of 27 digits) contains 22 as substring.

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

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 5 ways as a sum of consecutive naturals, for example, 30528030131 + ... + 30528030530.

Almost surely, 212211212132200 is an apocalyptic number.

12211212132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211212132200 is an abundant number, since it is smaller than the sum of its proper divisors (16179856075630).

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

12211212132200 is a wasteful number, since it uses less digits than its factorization.

12211212132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61056060677 (or 61056060668 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12211212132200 its reverse (223121211221), we get a palindrome (12434333343421).

The spelling of 12211212132200 in words is "twelve trillion, two hundred eleven billion, two hundred twelve million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 61056060661 122112121322 244224242644 305280303305 488448485288 610560606610 1221121213220 1526401516525 2442242426440 3052803033050 6105606066100 12211212132200