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12001000220000 = 255411210694639
BaseRepresentation
bin1010111010100011001101…
…0110101110010101100000
31120111021200100011112200122
42232220303112232111200
53033111022024020000
641305103340135412
72346020654520551
oct256506326562540
946437610145618
1012001000220000
113907660838a00
121419a5a837568
136908c69a5c3c
142d6bcc786328
1515c290b47085
hexaea335ae560

12001000220000 has 360 divisors, whose sum is σ = 32489646235200. Its totient is φ = 4358977920000.

The previous prime is 12001000219909. The next prime is 12001000220009. The reversal of 12001000220000 is 2200010021.

12001000220000 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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12001000220000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001000220009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2586977681 + ... + 2586982319.

It is an arithmetic number, because the mean of its divisors is an integer number (90249017320).

Almost surely, 212001000220000 is an apocalyptic number.

12001000220000 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 12001000220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16244823117600).

12001000220000 is an abundant number, since it is smaller than the sum of its proper divisors (20488646015200).

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

12001000220000 is a wasteful number, since it uses less digits than its factorization.

12001000220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12001000220000 its reverse (2200010021), we get a palindrome (12003200230021).

The spelling of 12001000220000 in words is "twelve trillion, one billion, two hundred twenty thousand".