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12012112020 = 22352325134679
BaseRepresentation
bin10110010111111101…
…00100100010010100
31011000010220111220210
423023332210202110
5144100100041040
65303541125420
7603446160516
oct131376444224
934003814823
1012012112020
115104584607
1223b29b9870
1311958157bc
1481d491bb6
154a4864480
hex2cbfa4894

12012112020 has 96 divisors (see below), whose sum is σ = 35237099520. Its totient is φ = 3051664000.

The previous prime is 12012111989. The next prime is 12012112027. The reversal of 12012112020 is 2021121021.

12012112020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12012111987 and 12012112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012112027) 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 31 ways as a sum of consecutive naturals, for example, 329041 + ... + 363719.

It is an arithmetic number, because the mean of its divisors is an integer number (367053120).

Almost surely, 212012112020 is an apocalyptic number.

12012112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17618549760).

12012112020 is an abundant number, since it is smaller than the sum of its proper divisors (23224987500).

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

12012112020 is a wasteful number, since it uses less digits than its factorization.

12012112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34965 (or 34963 counting only the distinct ones).

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

Adding to 12012112020 its reverse (2021121021), we get a palindrome (14033233041).

Subtracting from 12012112020 its reverse (2021121021), we obtain a palindrome (9990990999).

The spelling of 12012112020 in words is "twelve billion, twelve million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 251 276 345 460 502 690 753 1004 1255 1380 1506 2510 3012 3765 5020 5773 7530 11546 15060 17319 23092 28865 34638 34679 57730 69276 69358 86595 104037 115460 138716 173190 173395 208074 346380 346790 416148 520185 693580 797617 1040370 1595234 2080740 2392851 3190468 3988085 4785702 7976170 8704429 9571404 11964255 15952340 17408858 23928510 26113287 34817716 43522145 47857020 52226574 87044290 104453148 130566435 174088580 200201867 261132870 400403734 522265740 600605601 800807468 1001009335 1201211202 2002018670 2402422404 3003028005 4004037340 6006056010 12012112020