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212011220000112 = 24313379182745149
BaseRepresentation
bin110000001101001010110101…
…011101001101110101110000
31000210200002000110010020000120
4300031022311131031311300
5210242042434310000422
62030524335423050240
762441206446626601
oct6015126535156560
91023602013106016
10212011220000112
116160a4a9629315
121b941240740980
13913b759343890
143a4d57d7bdda8
151979d7200945c
hexc0d2b574dd70

212011220000112 has 80 divisors (see below), whose sum is σ = 605767332055200. Its totient is φ = 63471134462976.

The previous prime is 212011220000071. The next prime is 212011220000197. The reversal of 212011220000112 is 211000022110212.

212011220000112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212011220000091 and 212011220000100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4591349487 + ... + 4591395662.

It is an arithmetic number, because the mean of its divisors is an integer number (7572091650690).

Almost surely, 2212011220000112 is an apocalyptic number.

It is an amenable number.

212011220000112 is an abundant number, since it is smaller than the sum of its proper divisors (393756112055088).

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

212011220000112 is a wasteful number, since it uses less digits than its factorization.

212011220000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9182745210 (or 9182745204 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212011220000112 its reverse (211000022110212), we get a palindrome (423011242110324).

The spelling of 212011220000112 in words is "two hundred twelve trillion, eleven billion, two hundred twenty million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1776 1924 2886 3848 5772 7696 11544 23088 9182745149 18365490298 27548235447 36730980596 55096470894 73461961192 110192941788 119375686937 146923922384 220385883576 238751373874 339761570513 358127060811 440771767152 477502747748 679523141026 716254121622 955005495496 1019284711539 1359046282052 1432508243244 1910010990992 2038569423078 2718092564104 2865016486488 4077138846156 4416900416669 5436185128208 5730032972976 8154277692312 8833800833338 13250701250007 16308555384624 17667601666676 26501402500014 35335203333352 53002805000028 70670406666704 106005610000056 212011220000112