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12001222120 = 2352689111577
BaseRepresentation
bin10110010110101010…
…00001110111101000
31010222101102020210011
423023111001313220
5144034303101440
65302511501304
7603254463526
oct131325016750
933871366704
1012001222120
1150a9416898
1223ab227834
1311934a1b84
1481bc59316
154a39129ea
hex2cb541de8

12001222120 has 32 divisors (see below), whose sum is σ = 27013033800. Its totient is φ = 4798660608.

The previous prime is 12001222117. The next prime is 12001222147. The reversal of 12001222120 is 2122210021.

It is a happy number.

12001222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4857253636 + 7143968484 = 69694^2 + 84522^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12001222120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51772 + ... + 163348.

Almost surely, 212001222120 is an apocalyptic number.

12001222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001222120 is an abundant number, since it is smaller than the sum of its proper divisors (15011811680).

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

12001222120 is a wasteful number, since it uses less digits than its factorization.

12001222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114277 (or 114273 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12001222120 its reverse (2122210021), we get a palindrome (14123432141).

The spelling of 12001222120 in words is "twelve billion, one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2689 5378 10756 13445 21512 26890 53780 107560 111577 223154 446308 557885 892616 1115770 2231540 4463080 300030553 600061106 1200122212 1500152765 2400244424 3000305530 6000611060 12001222120