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12040140020200 = 23521716192187287
BaseRepresentation
bin1010111100110101000001…
…0001001101100111101000
31120122000201001121101220021
42233031100101031213220
53034231201321121300
641335055230010224
72351604615366325
oct257152021154750
946560631541807
1012040140020200
113922216179116
121425562646974
136944c3788726
142d8a629d7b4c
1515d2d1d64d1a
hexaf35044d9e8

12040140020200 has 96 divisors (see below), whose sum is σ = 29658312907200. Its totient is φ = 4529956797440.

The previous prime is 12040140020189. The next prime is 12040140020201. The reversal of 12040140020200 is 202004104021.

It is not an unprimeable number, because it can be changed into a prime (12040140020201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4410957 + ... + 6598243.

It is an arithmetic number, because the mean of its divisors is an integer number (308940759450).

Almost surely, 212040140020200 is an apocalyptic number.

12040140020200 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 12040140020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14829156453600).

12040140020200 is an abundant number, since it is smaller than the sum of its proper divisors (17618172887000).

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

12040140020200 is a wasteful number, since it uses less digits than its factorization.

12040140020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188939 (or 2188930 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12040140020200 its reverse (202004104021), we get a palindrome (12242144124221).

The spelling of 12040140020200 in words is "twelve trillion, forty billion, one hundred forty million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1619 1700 3238 3400 6476 8095 12952 16190 27523 32380 40475 55046 64760 80950 110092 137615 161900 220184 275230 323800 550460 688075 1100920 1376150 2187287 2752300 4374574 5504600 8749148 10936435 17498296 21872870 37183879 43745740 54682175 74367758 87491480 109364350 148735516 185919395 218728700 297471032 371838790 437457400 743677580 929596975 1487355160 1859193950 3541217653 3718387900 7082435306 7436775800 14164870612 17706088265 28329741224 35412176530 60200700101 70824353060 88530441325 120401400202 141648706120 177060882650 240802800404 301003500505 354121765300 481605600808 602007001010 708243530600 1204014002020 1505017502525 2408028004040 3010035005050 6020070010100 12040140020200