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12022211201 = 7211134339901
BaseRepresentation
bin10110011001001010…
…00110001010000001
31011000211220121101112
423030211012022001
5144110141224301
65304541413105
7603631052300
oct131445061201
934024817345
1012022211201
11510a252240
1223b626a195
131197940550
14820960437
154a56ab9bb
hex2cc946281

12022211201 has 48 divisors (see below), whose sum is σ = 16812468288. Its totient is φ = 8446032000.

The previous prime is 12022211197. The next prime is 12022211207. The reversal of 12022211201 is 10211222021.

It is not a de Polignac number, because 12022211201 - 22 = 12022211197 is a prime.

It is a super-2 number, since 2×120222112012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12022211207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281351 + ... + 321251.

It is an arithmetic number, because the mean of its divisors is an integer number (350259756).

Almost surely, 212022211201 is an apocalyptic number.

12022211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12022211201 is a deficient number, since it is larger than the sum of its proper divisors (4790257087).

12022211201 is a wasteful number, since it uses less digits than its factorization.

12022211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39982 (or 39975 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12022211201 its reverse (10211222021), we get a palindrome (22233433222).

The spelling of 12022211201 in words is "twelve billion, twenty-two million, two hundred eleven thousand, two hundred one".

Divisors: 1 7 11 13 43 49 77 91 143 301 473 539 559 637 1001 2107 3311 3913 6149 7007 23177 27391 39901 43043 279307 301301 438911 518713 1715743 1955149 3072377 3630991 5705843 12010201 18873173 21506639 22304659 25416937 39940901 84071407 132112211 156132613 245351249 279586307 924785477 1092928291 1717458743 12022211201