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12211200301320 = 233251391731410571
BaseRepresentation
bin1011000110110010010001…
…0000011001100100001000
31121020101020112201001021200
42301230210100121210020
53100032014234120240
641545425321304200
72400141632653146
oct261544420314410
947211215631250
1012211200301320
113988817252179
121452742335060
136a7685297897
1430304d3d0596
151629947ec930
hexb1b24419908

12211200301320 has 192 divisors, whose sum is σ = 40202994686400. Its totient is φ = 3214203793920.

The previous prime is 12211200301297. The next prime is 12211200301481. The reversal of 12211200301320 is 2310300211221.

12211200301320 is a `hidden beast` number, since 1 + 2 + 21 + 1 + 20 + 0 + 301 + 320 = 666.

It is a super-2 number, since 2×122112003013202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12211200301293 and 12211200301302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7951635 + ... + 9362205.

It is an arithmetic number, because the mean of its divisors is an integer number (209390597325).

Almost surely, 212211200301320 is an apocalyptic number.

12211200301320 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 12211200301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20101497343200).

12211200301320 is an abundant number, since it is smaller than the sum of its proper divisors (27991794385080).

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

12211200301320 is a wasteful number, since it uses less digits than its factorization.

12211200301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410900 (or 1410893 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12211200301320 its reverse (2310300211221), we get a palindrome (14521500512541).

Subtracting from 12211200301320 its reverse (2310300211221), we obtain a palindrome (9900900090099).

The spelling of 12211200301320 in words is "twelve trillion, two hundred eleven billion, two hundred million, three hundred one thousand, three hundred twenty".