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12021022122020 = 2252322694223801
BaseRepresentation
bin1010111011101101110011…
…0000001110000000100100
31120120012100200220112212022
42232323130300032000210
53033423023130401040
641322214211042312
72350330064055002
oct256733460160044
946505320815768
1012021022122020
1139150a566726a
121421907ba0398
13692767a7b942
142d7b6b92da72
1515ca6378c6b5
hexaeedcc0e024

12021022122020 has 72 divisors (see below), whose sum is σ = 26487546818040. Its totient is φ = 4582248563200.

The previous prime is 12021022121993. The next prime is 12021022122029. The reversal of 12021022122020 is 2022122012021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 356010315556 + 11665011806464 = 596666^2 + 3415408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12021022122020.

It is not an unprimeable number, because it can be changed into a prime (12021022122029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 734120 + ... + 4957920.

It is an arithmetic number, because the mean of its divisors is an integer number (367882594695).

Almost surely, 212021022122020 is an apocalyptic number.

12021022122020 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 12021022122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13243773409020).

12021022122020 is an abundant number, since it is smaller than the sum of its proper divisors (14466524696020).

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

12021022122020 is a wasteful number, since it uses less digits than its factorization.

12021022122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224125 (or 4224100 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12021022122020 its reverse (2022122012021), we get a palindrome (14043144134041).

The spelling of 12021022122020 in words is "twelve trillion, twenty-one billion, twenty-two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 269 460 529 538 1058 1076 1345 2116 2645 2690 5290 5380 6187 10580 12374 24748 30935 61870 123740 142301 284602 569204 711505 1423010 2846020 4223801 8447602 16895204 21119005 42238010 84476020 97147423 194294846 388589692 485737115 971474230 1136202469 1942948460 2234390729 2272404938 4468781458 4544809876 5681012345 8937562916 11171953645 11362024690 22343907290 22724049380 26132656787 44687814580 52265313574 104530627148 130663283935 261326567870 522653135740 601051106101 1202102212202 2404204424404 3005255530505 6010511061010 12021022122020