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12212010200 = 235213291491087
BaseRepresentation
bin10110101111110010…
…00111110011011000
31011112002001101200002
423113321013303120
5200002233311300
65335441432132
7611424242165
oct132771076330
934462041602
1012212010200
1151a73a8015
12244993b648
1311c8065650
1483bc4906c
154b719d5d5
hex2d7e47cd8

12212010200 has 192 divisors, whose sum is σ = 31872960000. Its totient is φ = 4320368640.

The previous prime is 12212010193. The next prime is 12212010227. The reversal of 12212010200 is 201021221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11234057 + ... + 11235143.

It is an arithmetic number, because the mean of its divisors is an integer number (166005000).

Almost surely, 212212010200 is an apocalyptic number.

12212010200 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 12212010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480000).

12212010200 is an abundant number, since it is smaller than the sum of its proper divisors (19660949800).

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

12212010200 is a wasteful number, since it uses less digits than its factorization.

12212010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1285 counting only the distinct ones).

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

Adding to 12212010200 its reverse (201021221), we get a palindrome (12413031421).

It can be divided in two parts, 12 and 212010200, that added together give a palindrome (212010212).

The spelling of 12212010200 in words is "twelve billion, two hundred twelve million, ten thousand, two hundred".