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11122000112220 = 22354147271354961
BaseRepresentation
bin1010000111011000101011…
…0111011010101001011100
31110101020211022101111222020
42201312022313122221130
52424210324012042340
635353213141220140
72225352350055564
oct241661267325134
943336738344866
1011122000112220
1135a88a5127a38
1212b7627401650
13628a52ac487a
142a64443a5da4
151444970459d0
hexa1d8addaa5c

11122000112220 has 192 divisors, whose sum is σ = 32700212600832. Its totient is φ = 2821506048000.

The previous prime is 11122000112159. The next prime is 11122000112269. The reversal of 11122000112220 is 2221100022111.

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 11122000112220.

It is a congruent number.

It is an unprimeable number.

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, 31155540 + ... + 31510500.

It is an arithmetic number, because the mean of its divisors is an integer number (170313607296).

Almost surely, 211122000112220 is an apocalyptic number.

11122000112220 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 11122000112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16350106300416).

11122000112220 is an abundant number, since it is smaller than the sum of its proper divisors (21578212488612).

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

11122000112220 is a wasteful number, since it uses less digits than its factorization.

11122000112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355332 (or 355330 counting only the distinct ones).

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

Adding to 11122000112220 its reverse (2221100022111), we get a palindrome (13343100134331).

The spelling of 11122000112220 in words is "eleven trillion, one hundred twenty-two billion, one hundred twelve thousand, two hundred twenty".