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2003001121200 = 2435210691561429
BaseRepresentation
bin11101001001011100001…
…010111001100110110000
321002111002120222121022010
4131021130022321212300
5230304121241334300
64132055505242520
7264466143420402
oct35113412714660
97074076877263
102003001121200
11702516a07642
12284241033440
13116b6124c031
146cd352a8b72
15371816e3a50
hex1d25c2b99b0

2003001121200 has 120 divisors (see below), whose sum is σ = 6422286504400. Its totient is φ = 533633633280.

The previous prime is 2003001121139. The next prime is 2003001121237. The reversal of 2003001121200 is 21211003002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502086 + ... + 2063514.

Almost surely, 22003001121200 is an apocalyptic number.

2003001121200 is a gapful number since it is divisible by the number (20) 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 2003001121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211143252200).

2003001121200 is an abundant number, since it is smaller than the sum of its proper divisors (4419285383200).

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

2003001121200 is a wasteful number, since it uses less digits than its factorization.

2003001121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562519 (or 1562508 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2003001121200 its reverse (21211003002), we get a palindrome (2024212124202).

The spelling of 2003001121200 in words is "two trillion, three billion, one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1069 1200 2138 3207 4276 5345 6414 8552 10690 12828 16035 17104 21380 25656 26725 32070 42760 51312 53450 64140 80175 85520 106900 128280 160350 213800 256560 320700 427600 641400 1282800 1561429 3122858 4684287 6245716 7807145 9368574 12491432 15614290 18737148 23421435 24982864 31228580 37474296 39035725 46842870 62457160 74948592 78071450 93685740 117107175 124914320 156142900 187371480 234214350 312285800 374742960 468428700 624571600 936857400 1669167601 1873714800 3338335202 5007502803 6676670404 8345838005 10015005606 13353340808 16691676010 20030011212 25037514015 26706681616 33383352020 40060022424 41729190025 50075028030 66766704040 80120044848 83458380050 100150056060 125187570075 133533408080 166916760100 200300112120 250375140150 333833520200 400600224240 500750280300 667667040400 1001500560600 2003001121200