Search a number
-
+
12222202122112 = 27137769906343
BaseRepresentation
bin1011000111011011010000…
…0001000000111110000000
31121021102122021120110011211
42301312310001000332000
53100222032220401422
641554445132415504
72401011363621343
oct261666401007600
947242567513154
1012222202122112
113992452513a54
1214548b2917594
136a87196abc08
143037b461645a
15162dda5eb577
hexb1db4040f80

12222202122112 has 64 divisors (see below), whose sum is σ = 24558568927200. Its totient is φ = 6058598989824.

The previous prime is 12222202122083. The next prime is 12222202122113. The reversal of 12222202122112 is 21122120222221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222202122113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13032013 + ... + 13938355.

Almost surely, 212222202122112 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 12222202122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12279284463600).

12222202122112 is an abundant number, since it is smaller than the sum of its proper divisors (12336366805088).

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

12222202122112 is an equidigital number, since it uses as much as digits as its factorization.

12222202122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907263 (or 907251 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 12222202122112 its reverse (21122120222221), we get a palindrome (33344322344333).

The spelling of 12222202122112 in words is "twelve trillion, two hundred twenty-two billion, two hundred two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 769 1096 1538 2192 3076 4384 6152 8768 12304 17536 24608 49216 98432 105353 210706 421412 842824 906343 1685648 1812686 3371296 3625372 6742592 7250744 13485184 14501488 29002976 58005952 116011904 124168991 248337982 496675964 696977767 993351928 1393955534 1986703856 2787911068 3973407712 5575822136 7946815424 11151644272 15893630848 22303288544 44606577088 89213154176 95485954079 190971908158 381943816316 763887632632 1527775265264 3055550530528 6111101061056 12222202122112