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12020000301 = 3229371518243
BaseRepresentation
bin10110011000111001…
…01010011000101101
31011000200202021121100
423030130222120231
5144104110002201
65304422153313
7603603213441
oct131434523055
934020667540
1012020000301
115108a82151
1223b5582839
13119734811a
14820546821
154a53c1886
hex2cc72a62d

12020000301 has 48 divisors (see below), whose sum is σ = 18570764160. Its totient is φ = 7477142400.

The previous prime is 12020000281. The next prime is 12020000329. The reversal of 12020000301 is 10300002021.

It is a happy number.

12020000301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12020000301 - 25 = 12020000269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020000371) 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 47 ways as a sum of consecutive naturals, for example, 1454086 + ... + 1462328.

It is an arithmetic number, because the mean of its divisors is an integer number (386890920).

Almost surely, 212020000301 is an apocalyptic number.

It is an amenable number.

12020000301 is a deficient number, since it is larger than the sum of its proper divisors (6550763859).

12020000301 is a wasteful number, since it uses less digits than its factorization.

12020000301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8466 (or 8463 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12020000301 its reverse (10300002021), we get a palindrome (22320002322).

The spelling of 12020000301 in words is "twelve billion, twenty million, three hundred one", and thus it is an aban number.

Divisors: 1 3 9 29 37 87 111 151 261 333 453 1073 1359 3219 4379 5587 8243 9657 13137 16761 24729 39411 50283 74187 162023 239047 304991 486069 717141 914973 1244693 1458207 2151423 2744919 3734079 8844739 11202237 26534217 36096097 46053641 79602651 108288291 138160923 324864873 414482769 1335555589 4006666767 12020000301