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12210411300 = 22352237717123
BaseRepresentation
bin10110101111100110…
…00001011100100100
31011111222001011101120
423113303001130210
5200001331130200
65335343253540
7611404532523
oct132763013444
934458034346
1012210411300
1151a650580a
1224492aa2b0
1311c7925959
1483b9504ba
154b6e849a0
hex2d7cc1724

12210411300 has 72 divisors (see below), whose sum is σ = 35345716896. Its totient is φ = 3254549760.

The previous prime is 12210411299. The next prime is 12210411319. The reversal of 12210411300 is 311401221.

12210411300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12210411300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704539 + ... + 721661.

Almost surely, 212210411300 is an apocalyptic number.

12210411300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210411300 is an abundant number, since it is smaller than the sum of its proper divisors (23135305596).

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

12210411300 is a wasteful number, since it uses less digits than its factorization.

12210411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19517 (or 19510 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12210411300 its reverse (311401221), we get a palindrome (12521812521).

The spelling of 12210411300 in words is "twelve billion, two hundred ten million, four hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2377 4754 7131 9508 11885 14262 17123 23770 28524 34246 35655 47540 51369 59425 68492 71310 85615 102738 118850 142620 171230 178275 205476 237700 256845 342460 356550 428075 513690 713100 856150 1027380 1284225 1712300 2568450 5136900 40701371 81402742 122104113 162805484 203506855 244208226 407013710 488416452 610520565 814027420 1017534275 1221041130 2035068550 2442082260 3052602825 4070137100 6105205650 12210411300