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12021012120 = 23351317974673
BaseRepresentation
bin10110011001000001…
…00001011010011000
31011000202122200120010
423030200201122120
5144104334341440
65304500001520
7603614626365
oct131440413230
934022580503
1012021012120
115109603367
1223b59902a0
131197610830
1482072b46c
154a5521580
hex2cc821698

12021012120 has 256 divisors, whose sum is σ = 41554477440. Its totient is φ = 2755657728.

The previous prime is 12021012109. The next prime is 12021012149. The reversal of 12021012120 is 2121012021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12021012096 and 12021012105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2570104 + ... + 2574776.

Almost surely, 212021012120 is an apocalyptic number.

12021012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20777238720).

12021012120 is an abundant number, since it is smaller than the sum of its proper divisors (29533465320).

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

12021012120 is a wasteful number, since it uses less digits than its factorization.

12021012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12021012120 its reverse (2121012021), we get a palindrome (14142024141).

Subtracting from 12021012120 its reverse (2121012021), we obtain a palindrome (9900000099).

The spelling of 12021012120 in words is "twelve billion, twenty-one million, twelve thousand, one hundred twenty".