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12211112200 = 235278722223
BaseRepresentation
bin10110101111101011…
…01100100100001000
31011112000100202211211
423113311230210020
5200002021042300
65335410302504
7611413512130
oct132765544410
934460322754
1012211112200
1151a6944371
122449587a34
1311c7b0c9a1
1483ba93ac0
154b70724ba
hex2d7d6c908

12211112200 has 48 divisors (see below), whose sum is σ = 32446673280. Its totient is φ = 4186666560.

The previous prime is 12211112197. The next prime is 12211112203. The reversal of 12211112200 is 221111221.

12211112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12211112197) and next prime (12211112203).

It is a super-2 number, since 2×122111122002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211112203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4359712 + ... + 4362511.

It is an arithmetic number, because the mean of its divisors is an integer number (675972360).

Almost surely, 212211112200 is an apocalyptic number.

12211112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211112200 is an abundant number, since it is smaller than the sum of its proper divisors (20235561080).

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

12211112200 is a wasteful number, since it uses less digits than its factorization.

12211112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722246 (or 8722237 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12211112200 its reverse (221111221), we get a palindrome (12432223421).

The spelling of 12211112200 in words is "twelve billion, two hundred eleven million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 8722223 17444446 34888892 43611115 61055561 69777784 87222230 122111122 174444460 218055575 244222244 305277805 348888920 436111150 488444488 610555610 872222300 1221111220 1526389025 1744444600 2442222440 3052778050 6105556100 12211112200