Search a number
-
+
22122201122112 = 2637313191359991
BaseRepresentation
bin1010000011110101110011…
…11100001000010101000000
32220022212021020021120000110
411001322321330020111000
510344422231441401422
6115014444321151320
74442163523644000
oct501727174102500
986285236246013
1022122201122112
117059a77899623
12259352048b540
13c46164a67790
14566a12504000
152856b11a860c
hex141eb9f08540

22122201122112 has 448 divisors, whose sum is σ = 77378104832000. Its totient is φ = 5527347517440.

The previous prime is 22122201122101. The next prime is 22122201122227. The reversal of 22122201122112 is 21122110222122.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15586437 + ... + 16946427.

It is an arithmetic number, because the mean of its divisors is an integer number (172718984000).

Almost surely, 222122201122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122201122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38689052416000).

22122201122112 is an abundant number, since it is smaller than the sum of its proper divisors (55255903709888).

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

22122201122112 is a wasteful number, since it uses less digits than its factorization.

22122201122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360059 (or 1360035 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 22122201122112 its reverse (21122110222122), we get a palindrome (43244311344234).

The spelling of 22122201122112 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred one million, one hundred twenty-two thousand, one hundred twelve".