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12002010022200 = 233521114991213133
BaseRepresentation
bin1010111010100110111110…
…0010110100000100111000
31120111101021201021210220010
42232221233202310010320
53033120104031202300
641305351451501520
72346054665635362
oct256515742640470
946441251253803
1012002010022200
113908029847280
12141a0a0a578a0
13690a27c65933
142d6c86925d32
1515c2ee612a50
hexaea6f8b4138

12002010022200 has 192 divisors, whose sum is σ = 40615726320000. Its totient is φ = 2907634777600.

The previous prime is 12002010022157. The next prime is 12002010022241. The reversal of 12002010022200 is 222001020021.

12002010022200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 9286834 + ... + 10499966.

It is an arithmetic number, because the mean of its divisors is an integer number (211540241250).

Almost surely, 212002010022200 is an apocalyptic number.

12002010022200 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 12002010022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20307863160000).

12002010022200 is an abundant number, since it is smaller than the sum of its proper divisors (28613716297800).

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

12002010022200 is a wasteful number, since it uses less digits than its factorization.

12002010022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214662 (or 1214653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002010022200 its reverse (222001020021), we get a palindrome (12224011042221).

The spelling of 12002010022200 in words is "twelve trillion, two billion, ten million, twenty-two thousand, two hundred".