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12002020020200 = 2352723431864811
BaseRepresentation
bin1010111010100111000000…
…1000111100111111101000
31120111101022102002202120102
42232221300020330333220
53033120114111121300
641305352450044532
72346055146626150
oct256516010747750
946441272082512
1012002020020200
113908034455991
12141a0a4279748
13690a2a056602
142d6c87da9760
1515c30043a0d5
hexaea7023cfe8

12002020020200 has 192 divisors, whose sum is σ = 33354899435520. Its totient is φ = 3926929248000.

The previous prime is 12002020020181. The next prime is 12002020020241. The reversal of 12002020020200 is 202002020021.

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, 13445795 + ... + 14310605.

It is an arithmetic number, because the mean of its divisors is an integer number (173723434560).

Almost surely, 212002020020200 is an apocalyptic number.

12002020020200 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 12002020020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16677449717760).

12002020020200 is an abundant number, since it is smaller than the sum of its proper divisors (21352879415320).

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

12002020020200 is a wasteful number, since it uses less digits than its factorization.

12002020020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865288 (or 865279 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 12002020020200 its reverse (202002020021), we get a palindrome (12204022040221).

The spelling of 12002020020200 in words is "twelve trillion, two billion, twenty million, twenty thousand, two hundred".