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12113433200 = 2452116314363
BaseRepresentation
bin10110100100000010…
…00101001001110000
31011021012120011110002
423102001011021300
5144302014330300
65322000525132
7606116324531
oct132201051160
934235504402
1012113433200
115156798720
1224209207a8
1311b07cc76b
1482cb08688
154ad6ca5d5
hex2d2045270

12113433200 has 120 divisors (see below), whose sum is σ = 31805809536. Its totient is φ = 4396896000.

The previous prime is 12113433173. The next prime is 12113433209. The reversal of 12113433200 is 233431121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113433209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2774219 + ... + 2778581.

Almost surely, 212113433200 is an apocalyptic number.

12113433200 is a gapful number since it is divisible by the number (10) 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 12113433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15902904768).

12113433200 is an abundant number, since it is smaller than the sum of its proper divisors (19692376336).

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

12113433200 is a wasteful number, since it uses less digits than its factorization.

12113433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12113433200 its reverse (233431121), we get a palindrome (12346864321).

The spelling of 12113433200 in words is "twelve billion, one hundred thirteen million, four hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 631 880 1100 1262 2200 2524 3155 4363 4400 5048 6310 6941 8726 10096 12620 13882 15775 17452 21815 25240 27764 31550 34705 34904 43630 47993 50480 55528 63100 69410 69808 87260 95986 109075 111056 126200 138820 173525 174520 191972 218150 239965 252400 277640 347050 349040 383944 436300 479930 555280 694100 767888 872600 959860 1199825 1388200 1745200 1919720 2399650 2753053 2776400 3839440 4799300 5506106 9598600 11012212 13765265 19197200 22024424 27530530 30283583 44048848 55061060 60567166 68826325 110122120 121134332 137652650 151417915 220244240 242268664 275305300 302835830 484537328 550610600 605671660 757089575 1101221200 1211343320 1514179150 2422686640 3028358300 6056716600 12113433200