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12134122224 = 2437101357559
BaseRepresentation
bin10110100110100000…
…00000001011110000
31011022122111021110020
423103100000023300
5144322313402344
65324020203440
7606460223430
oct132320001360
934278437406
1012134122224
115167439694
122427839580
1311b4b946a3
148317722c0
154b0415719
hex2d34002f0

12134122224 has 80 divisors (see below), whose sum is σ = 36179351040. Its totient is φ = 3432556800.

The previous prime is 12134122223. The next prime is 12134122237. The reversal of 12134122224 is 42222143121.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 12134122194 and 12134122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12134122223) 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, 144844 + ... + 212715.

It is an arithmetic number, because the mean of its divisors is an integer number (452241888).

Almost surely, 212134122224 is an apocalyptic number.

12134122224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12134122224 is an abundant number, since it is smaller than the sum of its proper divisors (24045228816).

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

12134122224 is a wasteful number, since it uses less digits than its factorization.

12134122224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357678 (or 357672 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 12134122224 its reverse (42222143121), we get a palindrome (54356265345).

The spelling of 12134122224 in words is "twelve billion, one hundred thirty-four million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 1212 1414 1616 2121 2424 2828 4242 4848 5656 8484 11312 16968 33936 357559 715118 1072677 1430236 2145354 2502913 2860472 4290708 5005826 5720944 7508739 8581416 10011652 15017478 17162832 20023304 30034956 36113459 40046608 60069912 72226918 108340377 120139824 144453836 216680754 252794213 288907672 433361508 505588426 577815344 758382639 866723016 1011176852 1516765278 1733446032 2022353704 3033530556 4044707408 6067061112 12134122224