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12211210120 = 235793864307
BaseRepresentation
bin10110101111101100…
…00100011110001000
31011112000112202011111
423113312010132020
5200002032210440
65335412340104
7611414400454
oct132766043610
934460482144
1012211210120
1151a6a0099a
122449614634
1311c7b45425
1483babb664
154b70914ea
hex2d7d84788

12211210120 has 32 divisors (see below), whose sum is σ = 27823017600. Its totient is φ = 4822653888.

The previous prime is 12211210103. The next prime is 12211210181. The reversal of 12211210120 is 2101211221.

12211210120 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 2×122112101202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12211210120.

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, 1928994 + ... + 1935313.

It is an arithmetic number, because the mean of its divisors is an integer number (869469300).

Almost surely, 212211210120 is an apocalyptic number.

12211210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211210120 is an abundant number, since it is smaller than the sum of its proper divisors (15611807480).

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

12211210120 is a wasteful number, since it uses less digits than its factorization.

12211210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864397 (or 3864393 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12211210120 its reverse (2101211221), we get a palindrome (14312421341).

The spelling of 12211210120 in words is "twelve billion, two hundred eleven million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 3864307 7728614 15457228 19321535 30914456 38643070 77286140 154572280 305280253 610560506 1221121012 1526401265 2442242024 3052802530 6105605060 12211210120