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12110001021000 = 2332531345555669
BaseRepresentation
bin1011000000111001010001…
…0011110010000001001000
31120212201000210101221201100
42300032110103302001020
53041402240230133000
641431131353421400
72356630054164441
oct260162423620110
946781023357640
1012110001021000
113949905962013
121436bbaa0a860
1369ac7818641c
142dc1acd8a2c8
1516002016aa00
hexb03944f2048

12110001021000 has 96 divisors (see below), whose sum is σ = 40931803481400. Its totient is φ = 3229333603200.

The previous prime is 12110001020969. The next prime is 12110001021011. The reversal of 12110001021000 is 12010001121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 803823419844 + 11306177601156 = 896562^2 + 3362466^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672768835 + ... + 672786834.

Almost surely, 212110001021000 is an apocalyptic number.

12110001021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110001021000 is an abundant number, since it is smaller than the sum of its proper divisors (28821802460400).

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

12110001021000 is a wasteful number, since it uses less digits than its factorization.

12110001021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345555696 (or 1345555679 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12110001021000 its reverse (12010001121), we get a palindrome (12122011022121).

The spelling of 12110001021000 in words is "twelve trillion, one hundred ten billion, one million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 1345555669 2691111338 4036667007 5382222676 6727778345 8073334014 10764445352 12110001021 13455556690 16146668028 20183335035 24220002042 26911113380 32293336056 33638891725 40366670070 48440004084 53822226760 60550005105 67277783450 80733340140 96880008168 100916675175 121100010210 134555566900 161466680280 168194458625 201833350350 242200020420 269111133800 302750025525 336388917250 403666700700 484400040840 504583375875 605500051050 672777834500 807333401400 1009166751750 1211000102100 1345555669000 1513750127625 2018333503500 2422000204200 3027500255250 4036667007000 6055000510500 12110001021000