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12224577888 = 253346330559
BaseRepresentation
bin10110110001010010…
…00100000101100000
31011112221200220022000
423120221010011200
5200013442443023
65341011044000
7611636124525
oct133051040540
934487626260
1012224577888
115203501336
122451ba0600
1311ca845b53
1483d79b14c
154b8332243
hex2d8a44160

12224577888 has 96 divisors (see below), whose sum is σ = 35733196800. Its totient is φ = 4065925248.

The previous prime is 12224577881. The next prime is 12224577899. The reversal of 12224577888 is 88877542221.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224577881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384753 + ... + 415311.

It is an arithmetic number, because the mean of its divisors is an integer number (372220800).

Almost surely, 212224577888 is an apocalyptic number.

12224577888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12224577888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17866598400).

12224577888 is an abundant number, since it is smaller than the sum of its proper divisors (23508618912).

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

12224577888 is a wasteful number, since it uses less digits than its factorization.

12224577888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31041 (or 31027 counting only the distinct ones).

The product of its digits is 4014080, while the sum is 54.

The spelling of 12224577888 in words is "twelve billion, two hundred twenty-four million, five hundred seventy-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 463 864 926 1389 1852 2778 3704 4167 5556 7408 8334 11112 12501 14816 16668 22224 25002 30559 33336 44448 50004 61118 66672 91677 100008 122236 133344 183354 200016 244472 275031 366708 400032 488944 550062 733416 825093 977888 1100124 1466832 1650186 2200248 2933664 3300372 4400496 6600744 8800992 13201488 14148817 26402976 28297634 42446451 56595268 84892902 113190536 127339353 169785804 226381072 254678706 339571608 382018059 452762144 509357412 679143216 764036118 1018714824 1358286432 1528072236 2037429648 3056144472 4074859296 6112288944 12224577888