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2220212211012 = 2232611282178857
BaseRepresentation
bin100000010011101110111…
…101011100110101000100
321212020202101222020111100
4200103232331130311010
5242333443311223022
64415541300540100
7316255633261665
oct40235675346504
97766671866440
102220212211012
1178664aa04304
122ba3606b1630
131314991cc503
147965d0d736c
153cb45b3a1ac
hex204eef5cd44

2220212211012 has 72 divisors (see below), whose sum is σ = 5704723671192. Its totient is φ = 727872422400.

The previous prime is 2220212210833. The next prime is 2220212211017. The reversal of 2220212211012 is 2101122120222.

It is a happy number.

2220212211012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 204334737156 + 2015877473856 = 452034^2 + 1419816^2 .

It is a super-2 number, since 2×22202122110122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2220212211017) 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, 28115488 + ... + 28194344.

It is an arithmetic number, because the mean of its divisors is an integer number (79232273211).

Almost surely, 22220212211012 is an apocalyptic number.

It is an amenable number.

2220212211012 is an abundant number, since it is smaller than the sum of its proper divisors (3484511460180).

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

2220212211012 is a wasteful number, since it uses less digits than its factorization.

2220212211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91749 (or 91744 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2220212211012 its reverse (2101122120222), we get a palindrome (4321334331234).

The spelling of 2220212211012 in words is "two trillion, two hundred twenty billion, two hundred twelve million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 12821 25642 38463 51284 76926 78857 115389 153852 157714 230778 236571 315428 461556 473142 709713 782081 946284 1419426 1564162 2346243 2838852 3128324 4692486 4810277 7038729 9384972 9620554 14077458 14430831 19241108 28154916 28861662 43292493 57723324 86584986 173169972 1011025597 2022051194 3033076791 4044102388 6066153582 9099230373 12132307164 18198460746 36396921492 61672561417 123345122834 185017684251 246690245668 370035368502 555053052753 740070737004 1110106105506 2220212211012