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12001122200 = 2352297612719
BaseRepresentation
bin10110010110101001…
…01001011110011000
31010222101020011201102
423023110221132120
5144034241402300
65302505410532
7603253566314
oct131324513630
933871204642
1012001122200
1150a9358811
1223ab199a48
131193468552
1481bc30b44
154a38e30d5
hex2cb529798

12001122200 has 96 divisors (see below), whose sum is σ = 28913328000. Its totient is φ = 4627123200.

The previous prime is 12001122193. The next prime is 12001122223. The reversal of 12001122200 is 222110021.

It is a happy number.

12001122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4412441 + ... + 4415159.

It is an arithmetic number, because the mean of its divisors is an integer number (301180500).

Almost surely, 212001122200 is an apocalyptic number.

12001122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14456664000).

12001122200 is an abundant number, since it is smaller than the sum of its proper divisors (16912205800).

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

12001122200 is a wasteful number, since it uses less digits than its factorization.

12001122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12001122200 its reverse (222110021), we get a palindrome (12223232221).

The spelling of 12001122200 in words is "twelve billion, one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 761 1160 1450 1522 2719 2900 3044 3805 5438 5800 6088 7610 10876 13595 15220 19025 21752 22069 27190 30440 38050 44138 54380 67975 76100 78851 88276 108760 110345 135950 152200 157702 176552 220690 271900 315404 394255 441380 543800 551725 630808 788510 882760 1103450 1577020 1971275 2069159 2206900 3154040 3942550 4138318 4413800 7885100 8276636 10345795 15770200 16553272 20691590 41383180 51728975 60005611 82766360 103457950 120011222 206915900 240022444 300028055 413831800 480044888 600056110 1200112220 1500140275 2400224440 3000280550 6000561100 12001122200