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12402101200 = 245243970627
BaseRepresentation
bin10111000110011100…
…10000101111010000
31012000022202000111111
423203032100233100
5200344414214300
65410352023104
7616223056306
oct134316205720
935008660444
1012402101200
115294732215
1224a1531a94
131228560628
148591ac276
154c8beb9ba
hex2e3390bd0

12402101200 has 60 divisors (see below), whose sum is σ = 29864343520. Its totient is φ = 4949470080.

The previous prime is 12402101191. The next prime is 12402101203. The reversal of 12402101200 is 210120421.

It is a happy number.

It is a super-2 number, since 2×124021012002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12402101203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140287 + ... + 210913.

Almost surely, 212402101200 is an apocalyptic number.

12402101200 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 12402101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14932171760).

12402101200 is an abundant number, since it is smaller than the sum of its proper divisors (17462242320).

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

12402101200 is a wasteful number, since it uses less digits than its factorization.

12402101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71084 (or 71073 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12402101200 its reverse (210120421), we get a palindrome (12612221621).

The spelling of 12402101200 in words is "twelve billion, four hundred two million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 439 878 1756 2195 3512 4390 7024 8780 10975 17560 21950 35120 43900 70627 87800 141254 175600 282508 353135 565016 706270 1130032 1412540 1765675 2825080 3531350 5650160 7062700 14125400 28250800 31005253 62010506 124021012 155026265 248042024 310052530 496084048 620105060 775131325 1240210120 1550262650 2480420240 3100525300 6201050600 12402101200