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11122100122120 = 23513672233074663
BaseRepresentation
bin1010000111011001000011…
…0100111011001000001000
31110101021002021120112202121
42201312100310323020020
52424211030112401440
635353231112541024
72225355003121621
oct241662064731010
943337067515677
1011122100122120
1135a8946625949
1212b76549b1774
13628a6a73ca20
142a645379aa48
151444a0bed34a
hexa1d90d3b208

11122100122120 has 256 divisors, whose sum is σ = 27569997987840. Its totient is φ = 4013209525248.

The previous prime is 11122100122079. The next prime is 11122100122123. The reversal of 11122100122120 is 2122100122111.

It is a super-2 number, since 2×111221001221202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11122100122094 and 11122100122103.

It is not an unprimeable number, because it can be changed into a prime (11122100122123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2385178909 + ... + 2385183571.

It is an arithmetic number, because the mean of its divisors is an integer number (107695304640).

Almost surely, 211122100122120 is an apocalyptic number.

11122100122120 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 11122100122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13784998993920).

11122100122120 is an abundant number, since it is smaller than the sum of its proper divisors (16447897865720).

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

11122100122120 is a wasteful number, since it uses less digits than its factorization.

11122100122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5280 counting only the distinct ones).

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

Adding to 11122100122120 its reverse (2122100122111), we get a palindrome (13244200244231).

Subtracting from 11122100122120 its reverse (2122100122111), we obtain a palindrome (9000000000009).

The spelling of 11122100122120 in words is "eleven trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred twenty".