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12012220002200 = 235211171915573019
BaseRepresentation
bin1010111011001101000000…
…0110110010111110011000
31120112100122021011112102112
42232303100012302332120
53033302011310032300
641314200535051452
72346566003222045
oct256632006627630
946470567145375
1012012220002200
113911399040380
121420070210b88
136919942c2b12
142d75749081cc
1515c6eab4be35
hexaecd01b2f98

12012220002200 has 384 divisors, whose sum is σ = 32497434316800. Its totient is φ = 4080915456000.

The previous prime is 12012220002193. The next prime is 12012220002221. The reversal of 12012220002200 is 220002221021.

12012220002200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3978872291 + ... + 3978875309.

It is an arithmetic number, because the mean of its divisors is an integer number (84628735200).

Almost surely, 212012220002200 is an apocalyptic number.

12012220002200 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 12012220002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248717158400).

12012220002200 is an abundant number, since it is smaller than the sum of its proper divisors (20485214314600).

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

12012220002200 is a wasteful number, since it uses less digits than its factorization.

12012220002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12012220002200 its reverse (220002221021), we get a palindrome (12232222223221).

The spelling of 12012220002200 in words is "twelve trillion, twelve billion, two hundred twenty million, two thousand, two hundred".