Search a number
-
+
1223052230112 = 25339736738737
BaseRepresentation
bin10001110011000011100…
…101111111110111100000
311022220220121112201210220
4101303003211333313200
5130014302332330422
62333510141523040
7154235242266006
oct21630345776740
94286817481726
101223052230112
1143176a10a839
12179051873480
138b44443335b
14432a5d30a76
1521c338b5e5c
hex11cc397fde0

1223052230112 has 96 divisors (see below), whose sum is σ = 3219843809952. Its totient is φ = 406499917824.

The previous prime is 1223052230111. The next prime is 1223052230129. The reversal of 1223052230112 is 2110322503221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223052230111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139981008 + ... + 139989744.

It is an arithmetic number, because the mean of its divisors is an integer number (33540039687).

Almost surely, 21223052230112 is an apocalyptic number.

1223052230112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1223052230112 is an abundant number, since it is smaller than the sum of its proper divisors (1996791579840).

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

1223052230112 is a wasteful number, since it uses less digits than its factorization.

1223052230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12820 (or 12812 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1223052230112 its reverse (2110322503221), we get a palindrome (3333374733333).

The spelling of 1223052230112 in words is "one trillion, two hundred twenty-three billion, fifty-two million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 397 794 1191 1588 2382 3176 3673 4764 6352 7346 8737 9528 11019 12704 14692 17474 19056 22038 26211 29384 34948 38112 44076 52422 58768 69896 88152 104844 117536 139792 176304 209688 279584 352608 419376 838752 1458181 2916362 3468589 4374543 5832724 6937178 8749086 10405767 11665448 13874356 17498172 20811534 23330896 27748712 32091001 34996344 41623068 46661792 55497424 64182002 69992688 83246136 96273003 110994848 128364004 139985376 166492272 192546006 256728008 332984544 385092012 513456016 770184024 1026912032 1540368048 3080736096 12740127397 25480254794 38220382191 50960509588 76440764382 101921019176 152881528764 203842038352 305763057528 407684076704 611526115056 1223052230112