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12220220122200 = 233252479128311047
BaseRepresentation
bin1011000111010011110111…
…1000010010010001011000
31121021020112011002102102200
42301310331320102101120
53100204002322402300
641553520331330200
72400611306116056
oct261647570222130
947236464072380
1012220220122200
1139916257510a2
12145443abb0960
136a8491b978bc
143036672c51d6
15162d215e2200
hexb1d3de12458

12220220122200 has 288 divisors, whose sum is σ = 41161029811200. Its totient is φ = 3249093415680.

The previous prime is 12220220122183. The next prime is 12220220122213. The reversal of 12220220122200 is 222102202221.

12220220122200 is a `hidden beast` number, since 1 + 2 + 220 + 220 + 1 + 2 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1106197077 + ... + 1106208123.

It is an arithmetic number, because the mean of its divisors is an integer number (142920242400).

Almost surely, 212220220122200 is an apocalyptic number.

12220220122200 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 12220220122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20580514905600).

12220220122200 is an abundant number, since it is smaller than the sum of its proper divisors (28940809689000).

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

12220220122200 is a wasteful number, since it uses less digits than its factorization.

12220220122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12831 (or 12819 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12220220122200 its reverse (222102202221), we get a palindrome (12442322324421).

The spelling of 12220220122200 in words is "twelve trillion, two hundred twenty billion, two hundred twenty million, one hundred twenty-two thousand, two hundred".