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11201212011220 = 225711101175341081
BaseRepresentation
bin1010001011111111110001…
…0000110101001011010100
31110122211021201112220122021
42202333330100311023110
52432010040233324340
635453433223142524
72234155322102620
oct242777420651324
943584251486567
1011201212011220
113629453190080
12130aa532a4a44
1363336788181a
142aa1da5d2180
1514658123ce4a
hexa2ffc4352d4

11201212011220 has 192 divisors, whose sum is σ = 29634790574592. Its totient is φ = 3454663680000.

The previous prime is 11201212011203. The next prime is 11201212011229. The reversal of 11201212011220 is 2211021210211.

It is a junction number, because it is equal to n+sod(n) for n = 11201212011194 and 11201212011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201212011229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272641080 + ... + 272682160.

It is an arithmetic number, because the mean of its divisors is an integer number (154347867576).

Almost surely, 211201212011220 is an apocalyptic number.

11201212011220 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 11201212011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817395287296).

11201212011220 is an abundant number, since it is smaller than the sum of its proper divisors (18433578563372).

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

11201212011220 is a wasteful number, since it uses less digits than its factorization.

11201212011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42962 (or 42960 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11201212011220 its reverse (2211021210211), we get a palindrome (13412233221431).

The spelling of 11201212011220 in words is "eleven trillion, two hundred one billion, two hundred twelve million, eleven thousand, two hundred twenty".