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12112001021000 = 235323351982837
BaseRepresentation
bin1011000001000000101110…
…0001001011010001001000
31120212220012011202110221102
42300100023201023101020
53041420334230133000
641432102040400532
72360030450666306
oct260201341132110
946786164673842
1012112001021000
11394a7418a9681
121437478776148
1369b20663078a
142dc31c845276
151600daa2d3d5
hexb040b84b448

12112001021000 has 64 divisors (see below), whose sum is σ = 28463722775280. Its totient is φ = 4824007180800.

The previous prime is 12112001020961. The next prime is 12112001021017. The reversal of 12112001021000 is 12010021121.

It can be written as a sum of positive squares in 8 ways, for example, as 950348120164 + 11161652900836 = 974858^2 + 3340906^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25758419 + ... + 26224418.

Almost surely, 212112001021000 is an apocalyptic number.

12112001021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112001021000 is an abundant number, since it is smaller than the sum of its proper divisors (16351721754280).

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

12112001021000 is a wasteful number, since it uses less digits than its factorization.

12112001021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51983091 (or 51983077 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12112001021000 its reverse (12010021121), we get a palindrome (12124011042121).

The spelling of 12112001021000 in words is "twelve trillion, one hundred twelve billion, one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 233 250 466 500 932 1000 1165 1864 2330 4660 5825 9320 11650 23300 29125 46600 58250 116500 233000 51982837 103965674 207931348 259914185 415862696 519828370 1039656740 1299570925 2079313480 2599141850 5198283700 6497854625 10396567400 12112001021 12995709250 24224002042 25991418500 48448004084 51982837000 60560005105 96896008168 121120010210 242240020420 302800025525 484480040840 605600051050 1211200102100 1514000127625 2422400204200 3028000255250 6056000510500 12112001021000