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12221342440 = 2352791109471
BaseRepresentation
bin10110110000111001…
…01110001011101000
31011112201121112002121
423120130232023220
5200012130424230
65340413441024
7611566460656
oct133034561350
934481545077
1012221342440
1152016a150a
122450aa0174
1311c9c82298
1483d197dd6
154b7de377a
hex2d872e2e8

12221342440 has 32 divisors (see below), whose sum is σ = 27508124160. Its totient is φ = 4886740800.

The previous prime is 12221342417. The next prime is 12221342459. The reversal of 12221342440 is 4424312221.

12221342440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122213424402 (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 56905 + ... + 166375.

It is an arithmetic number, because the mean of its divisors is an integer number (859628880).

Almost surely, 212221342440 is an apocalyptic number.

12221342440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221342440 is an abundant number, since it is smaller than the sum of its proper divisors (15286781720).

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

12221342440 is a wasteful number, since it uses less digits than its factorization.

12221342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112273 (or 112269 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12221342440 its reverse (4424312221), we get a palindrome (16645654661).

The spelling of 12221342440 in words is "twelve billion, two hundred twenty-one million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2791 5582 11164 13955 22328 27910 55820 109471 111640 218942 437884 547355 875768 1094710 2189420 4378840 305533561 611067122 1222134244 1527667805 2444268488 3055335610 6110671220 12221342440