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12121111120 = 245569266281
BaseRepresentation
bin10110100100111100…
…10111101001010000
31011021202000020120111
423102132113221100
5144311001023440
65322433251104
7606241513246
oct132236275120
934252006514
1012121111120
115160062208
122423403a94
1311b228a401
1482db46796
154ae1e54ea
hex2d2797a50

12121111120 has 40 divisors (see below), whose sum is σ = 28231217640. Its totient is φ = 4839905280.

The previous prime is 12121111117. The next prime is 12121111127. The reversal of 12121111120 is 2111112121.

It is a happy number.

12121111120 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 3003916864 + 9117194256 = 54808^2 + 95484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 12121111120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121111127) 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, 87621 + ... + 178660.

It is an arithmetic number, because the mean of its divisors is an integer number (705780441).

Almost surely, 212121111120 is an apocalyptic number.

12121111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121111120 is an abundant number, since it is smaller than the sum of its proper divisors (16110106520).

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

12121111120 is a wasteful number, since it uses less digits than its factorization.

12121111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266863 (or 266857 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12121111120 its reverse (2111112121), we get a palindrome (14232223241).

The spelling of 12121111120 in words is "twelve billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 569 1138 2276 2845 4552 5690 9104 11380 22760 45520 266281 532562 1065124 1331405 2130248 2662810 4260496 5325620 10651240 21302480 151513889 303027778 606055556 757569445 1212111112 1515138890 2424222224 3030277780 6060555560 12121111120