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12021211120 = 245909116529
BaseRepresentation
bin10110011001000010…
…10001111111110000
31011000210000210112111
423030201101333300
5144104412223440
65304504135104
7603616415512
oct131441217760
934023023474
1012021211120
115109729926
1223b5a67494
131197680299
1482077dbb2
154a55604ea
hex2cc851ff0

12021211120 has 40 divisors (see below), whose sum is σ = 27954081360. Its totient is φ = 4807664640.

The previous prime is 12021211117. The next prime is 12021211121. The reversal of 12021211120 is 2111212021.

12021211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×120212111202 (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 12021211120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021211121) 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, 719016 + ... + 735544.

It is an arithmetic number, because the mean of its divisors is an integer number (698852034).

Almost surely, 212021211120 is an apocalyptic number.

12021211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021211120 is an abundant number, since it is smaller than the sum of its proper divisors (15932870240).

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

12021211120 is a wasteful number, since it uses less digits than its factorization.

12021211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25633 (or 25627 counting only the distinct ones).

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

Adding to 12021211120 its reverse (2111212021), we get a palindrome (14132423141).

Subtracting from 12021211120 its reverse (2111212021), we obtain a palindrome (9909999099).

The spelling of 12021211120 in words is "twelve billion, twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 9091 16529 18182 33058 36364 45455 66116 72728 82645 90910 132232 145456 165290 181820 264464 330580 363640 661160 727280 1322320 150265139 300530278 601060556 751325695 1202121112 1502651390 2404242224 3005302780 6010605560 12021211120