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1012210001200 = 245210174333721
BaseRepresentation
bin11101011101011000110…
…10101110010100110000
310120202200122200202022201
432232230122232110300
5113041001230014300
62053000341112544
7133062336023116
oct16565432562460
93522618622281
101012210001200
11360304180582
1214420b0b8754
13745b2aa9918
1436dc3ccbab6
151b4e366966a
hexebac6ae530

1012210001200 has 120 divisors (see below), whose sum is σ = 2459290425696. Its totient is φ = 400323840000.

The previous prime is 1012210001189. The next prime is 1012210001203. The reversal of 1012210001200 is 21000122101.

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

It is not an unprimeable number, because it can be changed into a prime (1012210001203) 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, 30000340 + ... + 30034060.

Almost surely, 21012210001200 is an apocalyptic number.

1012210001200 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 1012210001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229645212848).

1012210001200 is an abundant number, since it is smaller than the sum of its proper divisors (1447080424496).

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

1012210001200 is a wasteful number, since it uses less digits than its factorization.

1012210001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34583 (or 34572 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012210001200 its reverse (21000122101), we get a palindrome (1033210123301).

The spelling of 1012210001200 in words is "one trillion, twelve billion, two hundred ten million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 200 202 400 404 505 743 808 1010 1486 1616 2020 2525 2972 3715 4040 5050 5944 7430 8080 10100 11888 14860 18575 20200 29720 33721 37150 40400 59440 67442 74300 75043 134884 148600 150086 168605 269768 297200 300172 337210 375215 539536 600344 674420 750430 843025 1200688 1348840 1500860 1686050 1876075 2697680 3001720 3372100 3405821 3752150 6003440 6744200 6811642 7504300 13488400 13623284 15008600 17029105 25054703 27246568 30017200 34058210 50109406 54493136 68116420 85145525 100218812 125273515 136232840 170291050 200437624 250547030 272465680 340582100 400875248 501094060 626367575 681164200 1002188120 1252735150 1362328400 2004376240 2505470300 2530525003 5010940600 5061050006 10021881200 10122100012 12652625015 20244200024 25305250030 40488400048 50610500060 63263125075 101221000120 126526250150 202442000240 253052500300 506105000600 1012210001200