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12020042000 = 2453371271279
BaseRepresentation
bin10110011000111001…
…10100100100010000
31011000200211101210202
423030130310210100
5144104112321000
65304423114332
7603603446141
oct131434644420
934020741722
1012020042000
11510900050a
1223b55a29a8
1311973610b5
14820557ac8
154a53cddd5
hex2cc734910

12020042000 has 160 divisors (see below), whose sum is σ = 30108549120. Its totient is φ = 4637606400.

The previous prime is 12020041993. The next prime is 12020042033. The reversal of 12020042000 is 24002021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9397361 + ... + 9398639.

It is an arithmetic number, because the mean of its divisors is an integer number (188178432).

Almost surely, 212020042000 is an apocalyptic number.

12020042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054274560).

12020042000 is an abundant number, since it is smaller than the sum of its proper divisors (18088507120).

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

12020042000 is a wasteful number, since it uses less digits than its factorization.

12020042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 12020042000 its reverse (24002021), we get a palindrome (12044044021).

The spelling of 12020042000 in words is "twelve billion, twenty million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 127 148 185 200 250 254 296 370 400 500 508 592 635 740 925 1000 1016 1270 1279 1480 1850 2000 2032 2540 2558 2960 3175 3700 4625 4699 5080 5116 6350 6395 7400 9250 9398 10160 10232 12700 12790 14800 15875 18500 18796 20464 23495 25400 25580 31750 31975 37000 37592 46990 47323 50800 51160 63500 63950 74000 75184 93980 94646 102320 117475 127000 127900 159875 162433 187960 189292 234950 236615 254000 255800 319750 324866 375920 378584 469900 473230 511600 587375 639500 649732 757168 812165 939800 946460 1174750 1183075 1279000 1299464 1624330 1879600 1892920 2349500 2366150 2558000 2598928 3248660 3785840 4060825 4699000 4732300 5915375 6010021 6497320 8121650 9398000 9464600 11830750 12020042 12994640 16243300 18929200 20304125 23661500 24040084 30050105 32486600 40608250 47323000 48080168 60100210 64973200 81216500 94646000 96160336 120200420 150250525 162433000 240400840 300501050 324866000 480801680 601002100 751252625 1202004200 1502505250 2404008400 3005010500 6010021000 12020042000