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12112602414 = 23115971193227
BaseRepresentation
bin10110100011111011…
…11010010100101110
31011021010222221211020
423101331322110232
5144301311234124
65321531035010
7606106264443
oct132175722456
934233887736
1012112602414
115156280520
12242059ba66
1311b059b583
1482c96d9ca
154ad5b4379
hex2d1f7a52e

12112602414 has 128 divisors (see below), whose sum is σ = 27515842560. Its totient is φ = 3523430400.

The previous prime is 12112602377. The next prime is 12112602443. The reversal of 12112602414 is 41420621121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53359369 + ... + 53359595.

It is an arithmetic number, because the mean of its divisors is an integer number (214967520).

Almost surely, 212112602414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112602414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13757921280).

12112602414 is an abundant number, since it is smaller than the sum of its proper divisors (15403240146).

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

12112602414 is a wasteful number, since it uses less digits than its factorization.

12112602414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566.

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 12112602414 in words is "twelve billion, one hundred twelve million, six hundred two thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 59 66 71 118 142 177 193 213 227 354 386 426 454 579 649 681 781 1158 1298 1362 1562 1947 2123 2343 2497 3894 4189 4246 4686 4994 6369 7491 8378 11387 12567 12738 13393 13703 14982 16117 22774 25134 26786 27406 32234 34161 40179 41109 43811 46079 48351 68322 80358 82218 87622 92158 96702 125257 131433 138237 147323 150733 177287 250514 262866 276474 294646 301466 354574 375771 441969 452199 481921 531861 751542 808477 883938 904398 950903 963842 1063722 1445763 1616954 1901806 2425431 2584849 2852709 2891526 3110581 4850862 5169698 5705418 6221162 7754547 8893247 9331743 10459933 15509094 17786494 18663486 20919866 26679741 28433339 31379799 34216391 53359482 56866678 62759598 68432782 85300017 102649173 170600034 183524279 205298346 367048558 550572837 1101145674 2018767069 4037534138 6056301207 12112602414