Search a number
-
+
12022201002221 = 292133491943101
BaseRepresentation
bin1010111011110010001100…
…0001010010100011101101
31120120022101212011212110222
42232330203001102203231
53033432431424032341
641322531202341125
72350401230301344
oct256744301224355
946508355155428
1012022201002221
113915650058423
121421b9695a7a5
136928c508a0a7
142d7c40322b5b
1515cad200544b
hexaef230528ed

12022201002221 has 8 divisors (see below), whose sum is σ = 12436824351000. Its totient is φ = 11607581966400.

The previous prime is 12022201002139. The next prime is 12022201002239. The reversal of 12022201002221 is 12220010222021.

It is a happy number.

12022201002221 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 803687148196 + 11218513854025 = 896486^2 + 3349405^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12022201002221 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12022201002221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022201002121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5215571 + ... + 7158671.

It is an arithmetic number, because the mean of its divisors is an integer number (1554603043875).

Almost surely, 212022201002221 is an apocalyptic number.

It is an amenable number.

12022201002221 is a deficient number, since it is larger than the sum of its proper divisors (414623348779).

12022201002221 is a wasteful number, since it uses less digits than its factorization.

12022201002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156479.

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

Adding to 12022201002221 its reverse (12220010222021), we get a palindrome (24242211224242).

The spelling of 12022201002221 in words is "twelve trillion, twenty-two billion, two hundred one million, two thousand, two hundred twenty-one".

Divisors: 1 29 213349 1943101 6187121 56349929 414558655249 12022201002221