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12231341472 = 253764328307
BaseRepresentation
bin10110110010000101…
…10111010110100000
31011120102102112012010
423121002313112200
5200022210411342
65341412032520
7612050454450
oct133102672640
934512375163
1012231341472
115207300979
122454302740
1311cc07357c
1484063bd60
154b8c1b29c
hex2d90b75a0

12231341472 has 96 divisors (see below), whose sum is σ = 36752389632. Its totient is φ = 3489110784.

The previous prime is 12231341471. The next prime is 12231341501. The reversal of 12231341472 is 27414313221.

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

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

It is not an unprimeable number, because it can be changed into a prime (12231341471) 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, 417943 + ... + 446249.

It is an arithmetic number, because the mean of its divisors is an integer number (382837392).

Almost surely, 212231341472 is an apocalyptic number.

12231341472 is a gapful number since it is divisible by the number (12) 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 12231341472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376194816).

12231341472 is an abundant number, since it is smaller than the sum of its proper divisors (24521048160).

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

12231341472 is a wasteful number, since it uses less digits than its factorization.

12231341472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28970 (or 28962 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

Adding to 12231341472 its reverse (27414313221), we get a palindrome (39645654693).

The spelling of 12231341472 in words is "twelve billion, two hundred thirty-one million, three hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 643 672 1286 1929 2572 3858 4501 5144 7716 9002 10288 13503 15432 18004 20576 27006 28307 30864 36008 54012 56614 61728 72016 84921 108024 113228 144032 169842 198149 216048 226456 339684 396298 432096 452912 594447 679368 792596 905824 1188894 1358736 1585192 2377788 2717472 3170384 4755576 6340768 9511152 18201401 19022304 36402802 54604203 72805604 109208406 127409807 145611208 218416812 254819614 291222416 382229421 436833624 509639228 582444832 764458842 873667248 1019278456 1528917684 1747334496 2038556912 3057835368 4077113824 6115670736 12231341472