Search a number
-
+
1224441312012 = 223283409786249
BaseRepresentation
bin10001110100010110011…
…000111011001100001100
311100001111102100101221200
4101310112120323030030
5130030123433441022
62334300042425500
7154314540266322
oct21642630731414
94301442311850
101224441312012
11432312221606
1217937ab02290
138b60615b3c9
14433985ddd12
1521cb5800bac
hex11d1663b30c

1224441312012 has 36 divisors (see below), whose sum is σ = 3132406095000. Its totient is φ = 403229668032.

The previous prime is 1224441311981. The next prime is 1224441312013. The reversal of 1224441312012 is 2102131444221.

1224441312012 is a `hidden beast` number, since 1 + 2 + 2 + 44 + 413 + 1 + 201 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1224441312013) by changing a digit.

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, 204890137 + ... + 204896112.

Almost surely, 21224441312012 is an apocalyptic number.

1224441312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1224441312012 is an abundant number, since it is smaller than the sum of its proper divisors (1907964782988).

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

1224441312012 is a wasteful number, since it uses less digits than its factorization.

1224441312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409786342 (or 409786337 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1224441312012 its reverse (2102131444221), we get a palindrome (3326572756233).

The spelling of 1224441312012 in words is "one trillion, two hundred twenty-four billion, four hundred forty-one million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 409786249 819572498 1229358747 1639144996 2458717494 3688076241 4917434988 7376152482 14752304964 34012258667 68024517334 102036776001 136049034668 204073552002 306110328003 408147104004 612220656006 1224441312012