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12012002100021 = 3711435322817029
BaseRepresentation
bin1010111011001100001100…
…0111100100001100110101
31120112100002002010221211110
42232303003013210030311
53033301040014200041
641314123152425233
72346560416123530
oct256630307441465
946470062127743
1012012002100021
113911297040230
12142000b248219
1369195b10b211
142d75539c5a17
1515c6d6958516
hexaecc31e4335

12012002100021 has 64 divisors (see below), whose sum is σ = 20817893099520. Its totient is φ = 5979886698240.

The previous prime is 12012002100013. The next prime is 12012002100037. The reversal of 12012002100021 is 12000120021021.

12012002100021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12012002100021 - 23 = 12012002100013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012002100121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10882066 + ... + 11934963.

It is an arithmetic number, because the mean of its divisors is an integer number (325279579680).

Almost surely, 212012002100021 is an apocalyptic number.

12012002100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12012002100021 is a deficient number, since it is larger than the sum of its proper divisors (8805890999499).

12012002100021 is a wasteful number, since it uses less digits than its factorization.

12012002100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22817146.

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

Adding to 12012002100021 its reverse (12000120021021), we get a palindrome (24012122121042).

It can be divided in two parts, 120120021000 and 21, that added together give a palindrome (120120021021).

The spelling of 12012002100021 in words is "twelve trillion, twelve billion, two million, one hundred thousand, twenty-one".

Divisors: 1 3 7 11 21 33 43 53 77 129 159 231 301 371 473 583 903 1113 1419 1749 2279 3311 4081 6837 9933 12243 15953 25069 47859 75207 175483 526449 22817029 68451087 159719203 250987319 479157609 752961957 981132247 1209302537 1756911233 2943396741 3627907611 5270733699 6867925729 8465117759 10792454717 13302327907 20603777187 25395353277 32377364151 39906983721 52000009091 75547183019 93116295349 156000027273 226641549057 279348886047 364000063637 572000100001 1092000190911 1716000300003 4004000700007 12012002100021