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12111220012200 = 23352173783386641
BaseRepresentation
bin1011000000111101110011…
…1101110111010010101000
31120212211011202011010021120
42300033130331313102220
53041412234310342300
641431452340535240
72360002215350601
oct260173475672250
946784152133246
1012111220012200
11394a380a5a161
12143729b0b1520
1369b110899aaa
142dc286c20da8
151600921a83a0
hexb03dcf774a8

12111220012200 has 384 divisors, whose sum is σ = 41319719118720. Its totient is φ = 2921884876800.

The previous prime is 12111220012187. The next prime is 12111220012219. The reversal of 12111220012200 is 221002211121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12111220012200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31130880 + ... + 31517520.

It is an arithmetic number, because the mean of its divisors is an integer number (107603435205).

Almost surely, 212111220012200 is an apocalyptic number.

12111220012200 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 12111220012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20659859559360).

12111220012200 is an abundant number, since it is smaller than the sum of its proper divisors (29208499106520).

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

12111220012200 is a wasteful number, since it uses less digits than its factorization.

12111220012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386797 (or 386788 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12111220012200 its reverse (221002211121), we get a palindrome (12332222223321).

The spelling of 12111220012200 in words is "twelve trillion, one hundred eleven billion, two hundred twenty million, twelve thousand, two hundred".