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12112000221120 = 263517029740893
BaseRepresentation
bin1011000001000000101101…
…1110000111111111000000
31120212220012010020211201020
42300100023132013333000
53041420334024033440
641432102011305440
72360030441125302
oct260201336077700
946786163224636
1012112000221120
11394a741402718
12143747844b280
1369b206410687
142dc31c6b7972
151600da9213d0
hexb040b787fc0

12112000221120 has 112 divisors (see below), whose sum is σ = 38457910851360. Its totient is φ = 3229672697856.

The previous prime is 12112000221109. The next prime is 12112000221193. The reversal of 12112000221120 is 2112200021121.

It is a super-3 number, since 3×121120002211203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12112000221120.

It is a congruent number.

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, 15977394 + ... + 16718286.

It is an arithmetic number, because the mean of its divisors is an integer number (343374204030).

Almost surely, 212112000221120 is an apocalyptic number.

12112000221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112000221120 is an abundant number, since it is smaller than the sum of its proper divisors (26345910630240).

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

12112000221120 is a wasteful number, since it uses less digits than its factorization.

12112000221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757942 (or 757932 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12112000221120 its reverse (2112200021121), we get a palindrome (14224200242241).

The spelling of 12112000221120 in words is "twelve trillion, one hundred twelve billion, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 17029 34058 51087 68116 85145 102174 136232 170290 204348 255435 272464 340580 408696 510870 544928 681160 740893 817392 1021740 1089856 1362320 1481786 1634784 2043480 2222679 2724640 2963572 3269568 3704465 4086960 4445358 5449280 5927144 7408930 8173920 8890716 11113395 11854288 14817860 16347840 17781432 22226790 23708576 29635720 35562864 44453580 47417152 59271440 71125728 88907160 118542880 142251456 177814320 237085760 355628640 711257280 12616666897 25233333794 37850000691 50466667588 63083334485 75700001382 100933335176 126166668970 151400002764 189250003455 201866670352 252333337940 302800005528 378500006910 403733340704 504666675880 605600011056 757000013820 807466681408 1009333351760 1211200022112 1514000027640 2018666703520 2422400044224 3028000055280 4037333407040 6056000110560 12112000221120