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12211200200 = 2352432515657
BaseRepresentation
bin10110101111101100…
…00010000011001000
31011112000112020120002
423113312002003020
5200002031401300
65335412222132
7611414326523
oct132766020310
934460466502
1012211200200
1151a69a44a1
12244960a948
1311c7b40a64
1483bab7bba
154b708d5d5
hex2d7d820c8

12211200200 has 96 divisors (see below), whose sum is σ = 29172195360. Its totient is φ = 4751040000.

The previous prime is 12211200167. The next prime is 12211200217. The reversal of 12211200200 is 200211221.

It is a happy number.

It is a super-2 number, since 2×122112002002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2155772 + ... + 2161428.

It is an arithmetic number, because the mean of its divisors is an integer number (303877035).

Almost surely, 212211200200 is an apocalyptic number.

12211200200 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 12211200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14586097680).

12211200200 is an abundant number, since it is smaller than the sum of its proper divisors (16960995160).

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

12211200200 is a wasteful number, since it uses less digits than its factorization.

12211200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967 (or 5958 counting only the distinct ones).

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

Adding to 12211200200 its reverse (200211221), we get a palindrome (12411411421).

The spelling of 12211200200 in words is "twelve billion, two hundred eleven million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 251 344 430 502 860 1004 1075 1255 1720 2008 2150 2510 4300 5020 5657 6275 8600 10040 10793 11314 12550 21586 22628 25100 28285 43172 45256 50200 53965 56570 86344 107930 113140 141425 215860 226280 243251 269825 282850 431720 486502 539650 565700 973004 1079300 1131400 1216255 1419907 1946008 2158600 2432510 2839814 4865020 5679628 6081275 7099535 9730040 11359256 12162550 14199070 24325100 28398140 35497675 48650200 56796280 61056001 70995350 122112002 141990700 244224004 283981400 305280005 488448008 610560010 1221120020 1526400025 2442240040 3052800050 6105600100 12211200200