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12002100120021 = 3111736375882353
BaseRepresentation
bin1010111010100111010011…
…1010100000100111010101
31120111101111222211020212110
42232221310322200213111
53033120300112320041
641305404430541233
72346060141516264
oct256516472404725
946441458736773
1012002100120021
113908075695090
12141a107067819
13690a4082025b
142d6c9489a5db
1515c3074ad516
hexaea74ea09d5

12002100120021 has 32 divisors (see below), whose sum is σ = 18489603328128. Its totient is φ = 6844234199040.

The previous prime is 12002100119939. The next prime is 12002100120067.

12002100120021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12002100120021 - 29 = 12002100119509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002100119979 and 12002100120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002100127021) 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 31 ways as a sum of consecutive naturals, for example, 900820 + ... + 4981533.

It is an arithmetic number, because the mean of its divisors is an integer number (577800104004).

Almost surely, 212002100120021 is an apocalyptic number.

12002100120021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12002100120021 is a deficient number, since it is larger than the sum of its proper divisors (6487503208107).

12002100120021 is a wasteful number, since it uses less digits than its factorization.

12002100120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886021.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 12002100 and 120021, that multiplied together give a square (1440504044100 = 12002102).

The spelling of 12002100120021 in words is "twelve trillion, two billion, one hundred million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 11 17 33 51 187 561 3637 10911 40007 61829 120021 185487 680119 2040357 5882353 17647059 64705883 100000001 194117649 300000003 1100000011 3300000033 21394117861 64182353583 235335296471 363700003637 706005889413 1091100010911 4000700040007 12002100120021