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12121000212 = 22318119332887
BaseRepresentation
bin10110100100111011…
…11100100100010100
31011021201210121102210
423102131330210110
5144310434001322
65322431033420
7606240542016
oct132235744424
934251717383
1012121000212
11515aa96952
12242336b870
1311b224ba99
1482db181b6
154ae1c270c
hex2d277c914

12121000212 has 48 divisors (see below), whose sum is σ = 28463157632. Its totient is φ = 4014541440.

The previous prime is 12121000193. The next prime is 12121000219. The reversal of 12121000212 is 21200012121.

12121000212 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 2×121210002122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121000219) 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 15 ways as a sum of consecutive naturals, for example, 4197033 + ... + 4199919.

Almost surely, 212121000212 is an apocalyptic number.

12121000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12121000212 is an abundant number, since it is smaller than the sum of its proper divisors (16342157420).

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

12121000212 is a wasteful number, since it uses less digits than its factorization.

12121000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 5006 counting only the distinct ones).

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

Adding to 12121000212 its reverse (21200012121), we get a palindrome (33321012333).

The spelling of 12121000212 in words is "twelve billion, one hundred twenty-one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 181 362 543 724 1086 1933 2172 2887 3866 5774 5799 7732 8661 11548 11598 17322 23196 34644 349873 522547 699746 1045094 1049619 1399492 1567641 2090188 2099238 3135282 4198476 5580571 6270564 11161142 16741713 22322284 33483426 66966852 1010083351 2020166702 3030250053 4040333404 6060500106 12121000212