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11122121110120 = 235593468892121
BaseRepresentation
bin1010000111011001001000…
…0100111111001001101000
31110101021010202001211212221
42201312102010333021220
52424211101001010440
635353233142443424
72225355346404256
oct241662204771150
943337122054787
1011122121110120
1135a89574604a9
1212b765ba33574
13628a71baaa67
142a64564a15d6
151444a2996d4a
hexa1d9213f268

11122121110120 has 32 divisors (see below), whose sum is σ = 25066972842120. Its totient is φ = 4441346160640.

The previous prime is 11122121110033. The next prime is 11122121110129. The reversal of 11122121110120 is 2101112122111.

It can be written as a sum of positive squares in 4 ways, for example, as 9095182335684 + 2026938774436 = 3015822^2 + 1423706^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11122121110094 and 11122121110103.

It is not an unprimeable number, because it can be changed into a prime (11122121110129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234422341 + ... + 234469780.

Almost surely, 211122121110120 is an apocalyptic number.

11122121110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122121110120 is an abundant number, since it is smaller than the sum of its proper divisors (13944851732000).

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

11122121110120 is a wasteful number, since it uses less digits than its factorization.

11122121110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468892725 (or 468892721 counting only the distinct ones).

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

Adding to 11122121110120 its reverse (2101112122111), we get a palindrome (13223233232231).

The spelling of 11122121110120 in words is "eleven trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 593 1186 2372 2965 4744 5930 11860 23720 468892121 937784242 1875568484 2344460605 3751136968 4688921210 9377842420 18755684840 278053027753 556106055506 1112212111012 1390265138765 2224424222024 2780530277530 5561060555060 11122121110120