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12002010221112 = 2331247694008077
BaseRepresentation
bin1010111010100110111110…
…0011100100101000111000
31120111101021201122220202020
42232221233203210220320
53033120104104033422
641305351500034440
72346055000424322
oct256515743445070
946441251586666
1012002010221112
11390802997276a
12141a0a0b32a20
13690a28005332
142d6c86978612
1515c2ee65195c
hexaea6f8e4a38

12002010221112 has 32 divisors (see below), whose sum is σ = 30005273523600. Its totient is φ = 4000637010944.

The previous prime is 12002010221111. The next prime is 12002010221143. The reversal of 12002010221112 is 21112201020021.

It is a junction number, because it is equal to n+sod(n) for n = 12002010221091 and 12002010221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002010221111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 990418 + ... + 4998494.

Almost surely, 212002010221112 is an apocalyptic number.

12002010221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002010221112 is an abundant number, since it is smaller than the sum of its proper divisors (18003263302488).

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

12002010221112 is a wasteful number, since it uses less digits than its factorization.

12002010221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132855 (or 4132851 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12002010221112 its reverse (21112201020021), we get a palindrome (33114211241133).

The spelling of 12002010221112 in words is "twelve trillion, two billion, ten million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 124769 249538 374307 499076 748614 998152 1497228 2994456 4008077 8016154 12024231 16032308 24048462 32064616 48096924 96193848 500083759213 1000167518426 1500251277639 2000335036852 3000502555278 4000670073704 6001005110556 12002010221112