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12000120993 = 3272383113883
BaseRepresentation
bin10110010110100001…
…10101000010100001
31010222022100022022200
423023100311002201
5144034012332433
65302432123413
7603242226330
oct131320650241
933868308280
1012000120993
1150a8834573
1223aa996569
1311931a7913
1481ba4dd17
154a3796613
hex2cb4350a1

12000120993 has 96 divisors (see below), whose sum is σ = 21129099264. Its totient is φ = 6415428096.

The previous prime is 12000120931. The next prime is 12000121031. The reversal of 12000120993 is 39902100021.

It is not a de Polignac number, because 12000120993 - 29 = 12000120481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12000120493) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13589730 + ... + 13590612.

It is an arithmetic number, because the mean of its divisors is an integer number (220094784).

Almost surely, 212000120993 is an apocalyptic number.

It is an amenable number.

12000120993 is a deficient number, since it is larger than the sum of its proper divisors (9128978271).

12000120993 is a wasteful number, since it uses less digits than its factorization.

12000120993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 12000120993 in words is "twelve billion, one hundred twenty thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 23 63 69 83 113 161 207 249 339 483 581 747 791 883 1017 1449 1743 1909 2373 2599 2649 5229 5727 6181 7119 7797 7947 9379 13363 17181 18193 18543 20309 23391 28137 40089 54579 55629 60927 65653 73289 84411 99779 120267 142163 163737 182781 196959 215717 219867 299337 426489 513023 590877 647151 659601 698453 898011 1279467 1510019 1539069 1685647 1941453 2095359 2294917 4530057 4617207 5056941 6286077 6884751 8281657 11799529 13590171 15170823 16064419 20654253 24844971 35398587 48193257 57971599 74534913 106195761 144579771 173914797 190478111 521744391 571434333 1333346777 1714302999 4000040331 12000120993