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12021312200 = 2352434729741
BaseRepresentation
bin10110011001000011…
…01010101011001000
31011000210012221012012
423030201222223020
5144104423442300
65304510235052
7603620316302
oct131441525310
934023187165
1012021312200
115109798867
1223b5ab5a88
1311976b72b1
148207a8972
154a5580435
hex2cc86aac8

12021312200 has 96 divisors (see below), whose sum is σ = 29209023360. Its totient is φ = 4596614400.

The previous prime is 12021312169. The next prime is 12021312209. The reversal of 12021312200 is 221312021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12021312209) 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, 389330 + ... + 419070.

It is an arithmetic number, because the mean of its divisors is an integer number (304260660).

Almost surely, 212021312200 is an apocalyptic number.

12021312200 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 12021312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14604511680).

12021312200 is an abundant number, since it is smaller than the sum of its proper divisors (17187711160).

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

12021312200 is a wasteful number, since it uses less digits than its factorization.

12021312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29847 (or 29838 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12021312200 its reverse (221312021), we get a palindrome (12242624221).

The spelling of 12021312200 in words is "twelve billion, twenty-one million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 47 50 86 94 100 172 188 200 215 235 344 376 430 470 860 940 1075 1175 1720 1880 2021 2150 2350 4042 4300 4700 8084 8600 9400 10105 16168 20210 29741 40420 50525 59482 80840 101050 118964 148705 202100 237928 297410 404200 594820 743525 1189640 1278863 1397827 1487050 2557726 2795654 2974100 5115452 5591308 5948200 6394315 6989135 10230904 11182616 12788630 13978270 25577260 27956540 31971575 34945675 51154520 55913080 60106561 63943150 69891350 120213122 127886300 139782700 240426244 255772600 279565400 300532805 480852488 601065610 1202131220 1502664025 2404262440 3005328050 6010656100 12021312200