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12002620021 = 722931793449
BaseRepresentation
bin10110010110110100…
…10111001001110101
31010222111001021100021
423023122113021311
5144040132320041
65303001445141
7603302405200
oct131332271165
933874037307
1012002620021
1150aa191087
1223ab7a07b1
131193871232
1481c100937
154a3adbcd1
hex2cb697275

12002620021 has 48 divisors (see below), whose sum is σ = 15102720000. Its totient is φ = 9488344320.

The previous prime is 12002619961. The next prime is 12002620031.

12002620021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12002620021 - 221 = 12000522869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12002619977 and 12002620004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002620031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3478305 + ... + 3481753.

It is an arithmetic number, because the mean of its divisors is an integer number (314640000).

Almost surely, 212002620021 is an apocalyptic number.

It is an amenable number.

12002620021 is a deficient number, since it is larger than the sum of its proper divisors (3100099979).

12002620021 is a wasteful number, since it uses less digits than its factorization.

12002620021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The spelling of 12002620021 in words is "twelve billion, two million, six hundred twenty thousand, twenty-one".

Divisors: 1 7 29 31 49 79 203 217 553 899 1421 1519 2291 2449 3449 3871 6293 16037 17143 24143 44051 71021 100021 106919 112259 120001 169001 272471 497147 700147 748433 1907297 3100651 3480029 4901029 5239031 7901659 8446601 13351079 21704557 55311613 59126207 151931899 244951429 387181291 413883449 1714660003 12002620021