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12351141200 = 245253582601
BaseRepresentation
bin10111000000010111…
…10111010101010000
31011212202211222112002
423200023313111100
5200243343004300
65401331453132
7615033653006
oct134013672520
934782758462
1012351141200
115268996212
1224884571a8
13121ab2a298
14852504a76
154c44d25d5
hex2e02f7550

12351141200 has 60 divisors (see below), whose sum is σ = 30233548188. Its totient is φ = 4847232000.

The previous prime is 12351141181. The next prime is 12351141203. The reversal of 12351141200 is 214115321.

It can be written as a sum of positive squares in 6 ways, for example, as 1798099216 + 10553041984 = 42404^2 + 102728^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12351141203) 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, 270101 + ... + 312500.

Almost surely, 212351141200 is an apocalyptic number.

12351141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12351141200 is an abundant number, since it is smaller than the sum of its proper divisors (17882406988).

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

12351141200 is a wasteful number, since it uses less digits than its factorization.

12351141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582672 (or 582661 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 12351141200 its reverse (214115321), we get a palindrome (12565256521).

The spelling of 12351141200 in words is "twelve billion, three hundred fifty-one million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 21200 582601 1165202 2330404 2913005 4660808 5826010 9321616 11652020 14565025 23304040 29130050 30877853 46608080 58260100 61755706 116520200 123511412 154389265 233040400 247022824 308778530 494045648 617557060 771946325 1235114120 1543892650 2470228240 3087785300 6175570600 12351141200