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12020100022000 = 245373127696083
BaseRepresentation
bin1010111011101010010111…
…0010101011111011110000
31120120002222102211000102201
42232322211302223323300
53033414131101201000
641321542511152544
72350265166252520
oct256724562537360
946502872730381
1012020100022000
11391477210a934
1214216ab215754
1369264ba18025
142d7ac129d680
1515ca0c84796a
hexaeea5cabef0

12020100022000 has 160 divisors (see below), whose sum is σ = 34288195129344. Its totient is φ = 3988235808000.

The previous prime is 12020100021949. The next prime is 12020100022027. The reversal of 12020100022000 is 22000102021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 13414042 + ... + 14282041.

Almost surely, 212020100022000 is an apocalyptic number.

12020100022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020100022000 is an abundant number, since it is smaller than the sum of its proper divisors (22268095107344).

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

12020100022000 is a wasteful number, since it uses less digits than its factorization.

12020100022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27696144 (or 27696128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12020100022000 its reverse (22000102021), we get a palindrome (12042100124021).

The spelling of 12020100022000 in words is "twelve trillion, twenty billion, one hundred million, twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 125 140 155 175 200 217 248 250 280 310 350 400 434 496 500 560 620 700 775 868 875 1000 1085 1240 1400 1550 1736 1750 2000 2170 2480 2800 3100 3472 3500 3875 4340 5425 6200 7000 7750 8680 10850 12400 14000 15500 17360 21700 27125 31000 43400 54250 62000 86800 108500 217000 434000 27696083 55392166 110784332 138480415 193872581 221568664 276960830 387745162 443137328 553921660 692402075 775490324 858578573 969362905 1107843320 1384804150 1550980648 1717157146 1938725810 2215686640 2769608300 3101961296 3434314292 3462010375 3877451620 4292892865 4846814525 5539216600 6010050011 6868628584 6924020750 7754903240 8585785730 9693629050 11078433200 12020100022 13737257168 13848041500 15509806480 17171571460 19387258100 21464464325 24040200044 24234072625 27696083000 30050250055 34343142920 38774516200 42928928650 48080400088 48468145250 55392166000 60100500110 68686285840 77549032400 85857857300 96160800176 96936290500 107322321625 120201000220 150251250275 171715714600 193872581000 214644643250 240402000440 300502500550 343431429200 387745162000 429289286500 480804000880 601005001100 751256251375 858578573000 1202010002200 1502512502750 1717157146000 2404020004400 3005025005500 6010050011000 12020100022000