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12424020200 = 2352197146049
BaseRepresentation
bin10111001001000011…
…11000000011101000
31012001211222121201022
423210201320003220
5200421022121300
65412453512012
7616610300144
oct134441700350
935054877638
1012424020200
1152a6043299
1224a8942608
13122cc66357
1485c076224
154caacb285
hex2e48780e8

12424020200 has 96 divisors (see below), whose sum is σ = 30835080000. Its totient is φ = 4641638400.

The previous prime is 12424020199. The next prime is 12424020209. The reversal of 12424020200 is 202042421.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12424020209) 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, 246776 + ... + 292824.

It is an arithmetic number, because the mean of its divisors is an integer number (321198750).

Almost surely, 212424020200 is an apocalyptic number.

12424020200 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 12424020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15417540000).

12424020200 is an abundant number, since it is smaller than the sum of its proper divisors (18411059800).

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

12424020200 is a wasteful number, since it uses less digits than its factorization.

12424020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46155 (or 46146 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 12424020200 its reverse (202042421), we get a palindrome (12626062621).

The spelling of 12424020200 in words is "twelve billion, four hundred twenty-four million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 71 76 95 100 142 152 190 200 284 355 380 475 568 710 760 950 1349 1420 1775 1900 2698 2840 3550 3800 5396 6745 7100 10792 13490 14200 26980 33725 46049 53960 67450 92098 134900 184196 230245 269800 368392 460490 874931 920980 1151225 1749862 1841960 2302450 3269479 3499724 4374655 4604900 6538958 6999448 8749310 9209800 13077916 16347395 17498620 21873275 26155832 32694790 34997240 43746550 62120101 65389580 81736975 87493100 124240202 130779160 163473950 174986200 248480404 310600505 326947900 496960808 621201010 653895800 1242402020 1553002525 2484804040 3106005050 6212010100 12424020200