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12002002200000 = 2633552222593
BaseRepresentation
bin1010111010100110111100…
…0100111110010111000000
31120111101021011120101212000
42232221233010332113000
53033120100030400000
641305351012104000
72346054542306211
oct256515704762700
946441234511760
1012002002200000
11390802539434a
12141a09a305000
13690a26457407
142d6c8588b408
1515c2edaba000
hexaea6f13e5c0

12002002200000 has 336 divisors, whose sum is σ = 44101776993120. Its totient is φ = 3200532480000.

The previous prime is 12002002199989. The next prime is 12002002200059. The reversal of 12002002200000 is 220020021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4288704 + ... + 6511296.

It is an arithmetic number, because the mean of its divisors is an integer number (131255288670).

Almost surely, 212002002200000 is an apocalyptic number.

12002002200000 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 12002002200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22050888496560).

12002002200000 is an abundant number, since it is smaller than the sum of its proper divisors (32099774793120).

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

12002002200000 is an frugal number, since it uses more digits than its factorization.

12002002200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222639 (or 2222603 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 12002002200000 its reverse (220020021), we get a palindrome (12002222220021).

The spelling of 12002002200000 in words is "twelve trillion, two billion, two million, two hundred thousand".