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12210112112020 = 22519139257899473
BaseRepresentation
bin1011000110101110001101…
…1001010010010110010100
31121020021102201002022012021
42301223203121102112110
53100022302200041040
641545125325502524
72400102650340454
oct261534331222624
947207381068167
1012210112112020
113988308a74479
121452499a11a44
136a75409c09a4
14302d88a87d64
1516292deeb24a
hexb1ae3652594

12210112112020 has 96 divisors (see below), whose sum is σ = 27290760739200. Its totient is φ = 4575822741504.

The previous prime is 12210112112017. The next prime is 12210112112027. The reversal of 12210112112020 is 2021121101221.

It is a junction number, because it is equal to n+sod(n) for n = 12210112111985 and 12210112112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210112112027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13125004 + ... + 14024476.

It is an arithmetic number, because the mean of its divisors is an integer number (284278757700).

Almost surely, 212210112112020 is an apocalyptic number.

12210112112020 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 12210112112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645380369600).

12210112112020 is an abundant number, since it is smaller than the sum of its proper divisors (15080648627180).

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

12210112112020 is a wasteful number, since it uses less digits than its factorization.

12210112112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899897 (or 899895 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12210112112020 its reverse (2021121101221), we get a palindrome (14231233213241).

The spelling of 12210112112020 in words is "twelve trillion, two hundred ten billion, one hundred twelve million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 139 190 257 278 380 514 556 695 1028 1285 1390 2570 2641 2780 4883 5140 5282 9766 10564 13205 19532 24415 26410 35723 48830 52820 71446 97660 142892 178615 357230 678737 714460 899473 1357474 1798946 2714948 3393685 3597892 4497365 6787370 8994730 13574740 17089987 17989460 34179974 68359948 85449935 125026747 170899870 231164561 250053494 341799740 462329122 500106988 625133735 924658244 1155822805 1250267470 2311645610 2375508193 2500534940 4392126659 4623291220 4751016386 8784253318 9502032772 11877540965 17568506636 21960633295 23755081930 32131873979 43921266590 47510163860 64263747958 87842533180 128527495916 160659369895 321318739790 610505605601 642637479580 1221011211202 2442022422404 3052528028005 6105056056010 12210112112020