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22341121121412 = 2232946165594197
BaseRepresentation
bin1010001010001101100101…
…00101101001110010000100
32221002210100010212210022200
411011012302211221302010
510412014104001341122
6115303211440354500
74464043544145552
oct505066245516204
987083303783280
1022341121121412
1171338a8494285
122609a38315a30
13c609b2a938c2
1457345d296bd2
1528b2256635ac
hex1451b2969c84

22341121121412 has 36 divisors (see below), whose sum is σ = 56479359434316. Its totient is φ = 7446253129920.

The previous prime is 22341121121381. The next prime is 22341121121447. The reversal of 22341121121412 is 21412112114322.

22341121121412 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 1 + 121 + 121 + 412 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10629777791556 + 11711343329856 = 3260334^2 + 3422184^2 .

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

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 32456503 + ... + 33137694.

Almost surely, 222341121121412 is an apocalyptic number.

It is an amenable number.

22341121121412 is an abundant number, since it is smaller than the sum of its proper divisors (34138238312904).

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

22341121121412 is a wasteful number, since it uses less digits than its factorization.

22341121121412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65603668 (or 65603663 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 22341121121412 its reverse (21412112114322), we get a palindrome (43753233235734).

The spelling of 22341121121412 in words is "twenty-two trillion, three hundred forty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 9461 18922 28383 37844 56766 85149 113532 170298 340596 65594197 131188394 196782591 262376788 393565182 590347773 787130364 1180695546 2361391092 620586697817 1241173395634 1861760093451 2482346791268 3723520186902 5585280280353 7447040373804 11170560560706 22341121121412