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11120112120 = 23351326189101
BaseRepresentation
bin10100101101100111…
…10111000111111000
31001200222110020002110
422112303313013320
5140233222041440
65035234332320
7542365251645
oct122663670770
931628406073
1011120112120
114797016907
1221a412a0a0
131082a90600
14776c18dcc
154513b8080
hex296cf71f8

11120112120 has 384 divisors, whose sum is σ = 37496260800. Its totient is φ = 2635776000.

The previous prime is 11120112103. The next prime is 11120112203. The reversal of 11120112120 is 2121102111.

It is a super-2 number, since 2×111201121202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11120112096 and 11120112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110100070 + ... + 110100170.

Almost surely, 211120112120 is an apocalyptic number.

11120112120 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 11120112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748130400).

11120112120 is an abundant number, since it is smaller than the sum of its proper divisors (26376148680).

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

11120112120 is a wasteful number, since it uses less digits than its factorization.

11120112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11120112120 its reverse (2121102111), we get a palindrome (13241214231).

It can be divided in two parts, 111201 and 12120, that added together give a palindrome (123321).

The spelling of 11120112120 in words is "eleven billion, one hundred twenty million, one hundred twelve thousand, one hundred twenty".