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12000011120 = 245150000139
BaseRepresentation
bin10110010110100000…
…11010001101110000
31010222022010201121022
423023100122031300
5144034000323440
65302425515012
7603241261106
oct131320321560
933868121538
1012000011120
1150a8769a69
1223aa942a68
1311931698c6
1481ba21c76
154a3773cb5
hex2cb41a370

12000011120 has 20 divisors (see below), whose sum is σ = 27900026040. Its totient is φ = 4800004416.

The previous prime is 12000011117. The next prime is 12000011129. The reversal of 12000011120 is 2111000021.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×120000111203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 12000011098 and 12000011107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000011129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74999990 + ... + 75000149.

It is an arithmetic number, because the mean of its divisors is an integer number (1395001302).

Almost surely, 212000011120 is an apocalyptic number.

12000011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000011120 is an abundant number, since it is smaller than the sum of its proper divisors (15900014920).

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

12000011120 is a wasteful number, since it uses less digits than its factorization.

12000011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150000152 (or 150000146 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12000011120 its reverse (2111000021), we get a palindrome (14111011141).

The spelling of 12000011120 in words is "twelve billion, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 150000139 300000278 600000556 750000695 1200001112 1500001390 2400002224 3000002780 6000005560 12000011120