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222121113012 = 223218869326993
BaseRepresentation
bin1100111011011101110…
…0110011010110110100
3210020100000001122210100
43032313130303112310
512114401001104022
6250012510154100
722022240210601
oct3166734632664
9706300048710
10222121113012
1186223639887
123706bab2930
1317c3b297866
14aa71d8b6a8
155ba05281ac
hex33b77335b4

222121113012 has 36 divisors (see below), whose sum is σ = 561504286980. Its totient is φ = 74036220672.

The previous prime is 222121113007. The next prime is 222121113013. The reversal of 222121113012 is 210311121222.

It can be written as a sum of positive squares in 2 ways, for example, as 157724945316 + 64396167696 = 397146^2 + 253764^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222121113013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515788 + ... + 842780.

It is an arithmetic number, because the mean of its divisors is an integer number (15597341305).

Almost surely, 2222121113012 is an apocalyptic number.

It is an amenable number.

222121113012 is an abundant number, since it is smaller than the sum of its proper divisors (339383173968).

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

222121113012 is a wasteful number, since it uses less digits than its factorization.

222121113012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345872 (or 345867 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 222121113012 its reverse (210311121222), we get a palindrome (432432234234).

The spelling of 222121113012 in words is "two hundred twenty-two billion, one hundred twenty-one million, one hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 18869 37738 56607 75476 113214 169821 226428 326993 339642 653986 679284 980979 1307972 1961958 2942937 3923916 5885874 11771748 6170030917 12340061834 18510092751 24680123668 37020185502 55530278253 74040371004 111060556506 222121113012