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12221310300 = 2235240737701
BaseRepresentation
bin10110110000111001…
…00110010101011100
31011112201112220000020
423120130212111130
5200012123412200
65340413032140
7611566265163
oct133034462534
934481486006
1012221310300
11520167a351
122450a85650
1311c9c70774
1483d18a3da
154b7dd8ea0
hex2d872655c

12221310300 has 36 divisors (see below), whose sum is σ = 35360325336. Its totient is φ = 3259016000.

The previous prime is 12221310293. The next prime is 12221310341. The reversal of 12221310300 is 301312221.

12221310300 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 12221310300.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 20368551 + ... + 20369150.

Almost surely, 212221310300 is an apocalyptic number.

12221310300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221310300 is an abundant number, since it is smaller than the sum of its proper divisors (23139015036).

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

12221310300 is a wasteful number, since it uses less digits than its factorization.

12221310300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40737718 (or 40737711 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12221310300 its reverse (301312221), we get a palindrome (12522622521).

The spelling of 12221310300 in words is "twelve billion, two hundred twenty-one million, three hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 40737701 81475402 122213103 162950804 203688505 244426206 407377010 488852412 611065515 814754020 1018442525 1222131030 2036885050 2444262060 3055327575 4073770100 6110655150 12221310300