Search a number
-
+
12022101222210 = 2335196019194243
BaseRepresentation
bin1010111011110001110100…
…0100101010001101000010
31120120022010220102112001000
42232330131010222031002
53033432230403102320
641322513235552430
72350365606213462
oct256743504521502
946508126375030
1012022101222210
1139155a97a7202
121421b6945b716
136928aa4c2771
142d7c30d8bba2
1515cac8395c90
hexaef1d12a342

12022101222210 has 256 divisors, whose sum is σ = 33847156224000. Its totient is φ = 3028095705600.

The previous prime is 12022101222203. The next prime is 12022101222227. The reversal of 12022101222210 is 1222210122021.

It is a happy number.

12022101222210 is a `hidden beast` number, since 1 + 20 + 2 + 210 + 1 + 222 + 210 = 666.

It is a super-3 number, since 3×120221012222103 (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2833394349 + ... + 2833398591.

It is an arithmetic number, because the mean of its divisors is an integer number (132215454000).

Almost surely, 212022101222210 is an apocalyptic number.

12022101222210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022101222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16923578112000).

12022101222210 is an abundant number, since it is smaller than the sum of its proper divisors (21825055001790).

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

12022101222210 is a wasteful number, since it uses less digits than its factorization.

12022101222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5798 (or 5792 counting only the distinct ones).

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

Adding to 12022101222210 its reverse (1222210122021), we get a palindrome (13244311344231).

The spelling of 12022101222210 in words is "twelve trillion, twenty-two billion, one hundred one million, two hundred twenty-two thousand, two hundred ten".