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12022112231300 = 2252265574526909
BaseRepresentation
bin1010111011110001110110…
…1110101001111110000100
31120120022011200010211200002
42232330131232221332010
53033432241212400200
641322514311540432
72350366101615113
oct256743556517604
946508150124602
1012022112231300
113915604a36526
121421b7108a718
136928ac878712
142d7c32615c7a
1515cac931cbd5
hexaef1dba9f84

12022112231300 has 36 divisors (see below), whose sum is σ = 26088971644260. Its totient is φ = 4808662753920.

The previous prime is 12022112231273. The next prime is 12022112231309. The reversal of 12022112231300 is 313221122021.

It can be written as a sum of positive squares in 6 ways, for example, as 281442982144 + 11740669249156 = 530512^2 + 3426466^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12022112231309) 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, 392246 + ... + 4919154.

It is an arithmetic number, because the mean of its divisors is an integer number (724693656785).

Almost surely, 212022112231300 is an apocalyptic number.

12022112231300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022112231300 is an abundant number, since it is smaller than the sum of its proper divisors (14066859412960).

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

12022112231300 is a wasteful number, since it uses less digits than its factorization.

12022112231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553480 (or 4553473 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12022112231300 its reverse (313221122021), we get a palindrome (12335333353321).

The spelling of 12022112231300 in words is "twelve trillion, twenty-two billion, one hundred twelve million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 26557 53114 106228 132785 265570 531140 663925 1327850 2655700 4526909 9053818 18107636 22634545 45269090 90538180 113172725 226345450 452690900 120221122313 240442244626 480884489252 601105611565 1202211223130 2404422446260 3005528057825 6011056115650 12022112231300