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12132023021200 = 245230330057553
BaseRepresentation
bin1011000010001011010011…
…1011000010111010010000
31120221210212112200110210101
42300202310323002322100
53042232340343134300
641445212513342144
72361336561122605
oct260426473027220
946853775613711
1012132023021200
113958186794785
12143b325b67954
136a007773c084
142dd29ba166ac
151608ad692b6a
hexb08b4ec2e90

12132023021200 has 30 divisors (see below), whose sum is σ = 29147185309394. Its totient is φ = 4852809208320.

The previous prime is 12132023021191. The next prime is 12132023021201. The reversal of 12132023021200 is 212032023121.

It can be written as a sum of positive squares in 3 ways, for example, as 10707282576 + 12121315738624 = 103476^2 + 3481568^2 .

It is not an unprimeable number, because it can be changed into a prime (12132023021201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15165028377 + ... + 15165029176.

Almost surely, 212132023021200 is an apocalyptic number.

12132023021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132023021200 is an abundant number, since it is smaller than the sum of its proper divisors (17015162288194).

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

12132023021200 is a wasteful number, since it uses less digits than its factorization.

12132023021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30330057571 (or 30330057560 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12132023021200 its reverse (212032023121), we get a palindrome (12344055044321).

The spelling of 12132023021200 in words is "twelve trillion, one hundred thirty-two billion, twenty-three million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30330057553 60660115106 121320230212 151650287765 242640460424 303300575530 485280920848 606601151060 758251438825 1213202302120 1516502877650 2426404604240 3033005755300 6066011510600 12132023021200