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12220120112200 = 23527112135549051
BaseRepresentation
bin1011000111010011011111…
…1010110001110001001000
31121021020021011220101111121
42301310313322301301020
53100203301222042300
641553502400005024
72400605653052530
oct261646772616110
947236234811447
1012220120112200
113991584253100
121454411600774
136a847724c6a0
14303657cd04c0
15162d1793981a
hexb1d37eb1c48

12220120112200 has 288 divisors, whose sum is σ = 38436285545280. Its totient is φ = 3515878080000.

The previous prime is 12220120112197. The next prime is 12220120112203. The reversal of 12220120112200 is 221102102221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12220120112197) and next prime (12220120112203).

It is not an unprimeable number, because it can be changed into a prime (12220120112203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 572326 + ... + 4976725.

It is an arithmetic number, because the mean of its divisors is an integer number (133459324810).

Almost surely, 212220120112200 is an apocalyptic number.

12220120112200 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 12220120112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19218142772640).

12220120112200 is an abundant number, since it is smaller than the sum of its proper divisors (26216165433080).

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

12220120112200 is a wasteful number, since it uses less digits than its factorization.

12220120112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549109 (or 5549089 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12220120112200 its reverse (221102102221), we get a palindrome (12441222214421).

The spelling of 12220120112200 in words is "twelve trillion, two hundred twenty billion, one hundred twenty million, one hundred twelve thousand, two hundred".