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11220112211112 = 23327371015957219
BaseRepresentation
bin1010001101000110001011…
…0011010111110010101000
31110201122001220121112202200
42203101202303113302220
52432312242211223422
635510240504100200
72235424561125330
oct243214263276250
943648056545680
1011220112211112
113636471920a92
121312648a64660
1363508a44875c
142ab0b07cc0c0
15146cda6622ac
hexa3462cd7ca8

11220112211112 has 192 divisors, whose sum is σ = 36020688163200. Its totient is φ = 3088221811200.

The previous prime is 11220112211111. The next prime is 11220112211129. The reversal of 11220112211112 is 21111221102211.

It is a happy number.

11220112211112 is a `hidden beast` number, since 11 + 220 + 112 + 211 + 112 = 666.

It is a super-2 number, since 2×112201122111122 (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 not an unprimeable number, because it can be changed into a prime (11220112211111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1095162 + ... + 4862057.

It is an arithmetic number, because the mean of its divisors is an integer number (187607750850).

Almost surely, 211220112211112 is an apocalyptic number.

11220112211112 is a gapful number since it is divisible by the number (12) 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 11220112211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18010344081600).

11220112211112 is an abundant number, since it is smaller than the sum of its proper divisors (24800575952088).

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

11220112211112 is a wasteful number, since it uses less digits than its factorization.

11220112211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957376 (or 5957369 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11220112211112 its reverse (21111221102211), we get a palindrome (32331333313323).

The spelling of 11220112211112 in words is "eleven trillion, two hundred twenty billion, one hundred twelve million, two hundred eleven thousand, one hundred twelve".