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12344201016 = 23372329110161
BaseRepresentation
bin10110111111100010…
…11000111100111000
31011212021210101101020
423133301120330320
5200240103413031
65400523022440
7614620656150
oct133761307470
934767711336
1012344201016
115264a85a24
12248606aa20
13121956a374
14851619760
154c3ab1096
hex2dfc58f38

12344201016 has 128 divisors (see below), whose sum is σ = 38071987200. Its totient is φ = 3257210880.

The previous prime is 12344200937. The next prime is 12344201017. The reversal of 12344201016 is 61010244321.

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 (12344201017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56976 + ... + 167136.

It is an arithmetic number, because the mean of its divisors is an integer number (297437400).

Almost surely, 212344201016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12344201016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19035993600).

12344201016 is an abundant number, since it is smaller than the sum of its proper divisors (25727786184).

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

12344201016 is a wasteful number, since it uses less digits than its factorization.

12344201016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110229 (or 110225 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12344201016 its reverse (61010244321), we get a palindrome (73354445337).

The spelling of 12344201016 in words is "twelve billion, three hundred forty-four million, two hundred one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 29 42 46 56 58 69 84 87 92 116 138 161 168 174 184 203 232 276 322 348 406 483 552 609 644 667 696 812 966 1218 1288 1334 1624 1932 2001 2436 2668 3864 4002 4669 4872 5336 8004 9338 14007 16008 18676 28014 37352 56028 110161 112056 220322 330483 440644 660966 771127 881288 1321932 1542254 2313381 2533703 2643864 3084508 3194669 4626762 5067406 6169016 6389338 7601109 9253524 9584007 10134812 12778676 15202218 17735921 18507048 19168014 20269624 22362683 25557352 30404436 35471842 38336028 44725366 53207763 60808872 67088049 70943684 73477387 76672056 89450732 106415526 134176098 141887368 146954774 178901464 212831052 220432161 268352196 293909548 425662104 440864322 514341709 536704392 587819096 881728644 1028683418 1543025127 1763457288 2057366836 3086050254 4114733672 6172100508 12344201016