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12011212200 = 23352138318553
BaseRepresentation
bin10110010111110110…
…01000110110101000
31011000002012210121010
423023323020312220
5144044332242300
65303505543520
7603435422241
oct131373106650
934002183533
1012011212200
11510401a559
1223b2644ba0
13119558c070
1481d2d9cc8
154a4737a50
hex2cbec8da8

12011212200 has 192 divisors, whose sum is σ = 40584277440. Its totient is φ = 2920826880.

The previous prime is 12011212177. The next prime is 12011212201. The reversal of 12011212200 is 221211021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12011212201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638124 + ... + 656676.

It is an arithmetic number, because the mean of its divisors is an integer number (211376445).

Almost surely, 212011212200 is an apocalyptic number.

12011212200 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 12011212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20292138720).

12011212200 is an abundant number, since it is smaller than the sum of its proper divisors (28573065240).

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

12011212200 is a wasteful number, since it uses less digits than its factorization.

12011212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18668 (or 18659 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12011212200 its reverse (221211021), we get a palindrome (12232423221).

The spelling of 12011212200 in words is "twelve billion, eleven million, two hundred twelve thousand, two hundred".