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12221525320 = 235409747037
BaseRepresentation
bin10110110000111010…
…11010110101001000
31011112201221210221221
423120131122311020
5200012202302240
65340421411424
7611601152104
oct133035326510
934481853857
1012221525320
115201806954
122450b69b74
1311ca0175b4
1483d204904
154b7e2ca4a
hex2d875ad48

12221525320 has 32 divisors (see below), whose sum is σ = 27565702200. Its totient is φ = 4876651008.

The previous prime is 12221525293. The next prime is 12221525321. The reversal of 12221525320 is 2352512221.

12221525320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10362018436 + 1859506884 = 101794^2 + 43122^2 .

It is a super-2 number, since 2×122215253202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12221525321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 357159 + ... + 389878.

Almost surely, 212221525320 is an apocalyptic number.

12221525320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221525320 is an abundant number, since it is smaller than the sum of its proper divisors (15344176880).

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

12221525320 is a wasteful number, since it uses less digits than its factorization.

12221525320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747457 (or 747453 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 12221525320 in words is "twelve billion, two hundred twenty-one million, five hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 409 818 1636 2045 3272 4090 8180 16360 747037 1494074 2988148 3735185 5976296 7470370 14940740 29881480 305538133 611076266 1222152532 1527690665 2444305064 3055381330 6110762660 12221525320