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12200002001 = 1153193110837
BaseRepresentation
bin10110101110010110…
…10100000111010001
31011111020110022111222
423113023110013101
5144441200031001
65334332214425
7611220206645
oct132713240721
934436408458
1012200002001
1151a0646090
12244590a415
1311c571c9c5
1483a400c25
154b60ca61b
hex2d72d41d1

12200002001 has 16 divisors (see below), whose sum is σ = 13568482368. Its totient is φ = 10875009600.

The previous prime is 12200001991. The next prime is 12200002037. The reversal of 12200002001 is 10020000221.

12200002001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12200002001 - 218 = 12199739857 is a prime.

It is a super-3 number, since 3×122000020013 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12200002001.

It is not an unprimeable number, because it can be changed into a prime (12200092001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1120355 + ... + 1131191.

It is an arithmetic number, because the mean of its divisors is an integer number (848030148).

Almost surely, 212200002001 is an apocalyptic number.

12200002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200002001 is a deficient number, since it is larger than the sum of its proper divisors (1368480367).

12200002001 is a wasteful number, since it uses less digits than its factorization.

12200002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12832.

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

Adding to 12200002001 its reverse (10020000221), we get a palindrome (22220002222).

The spelling of 12200002001 in words is "twelve billion, two hundred million, two thousand, one".

Divisors: 1 11 53 583 1931 10837 21241 102343 119207 574361 1125773 6317971 20926247 230188717 1109091091 12200002001