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12110101120 = 2751341131271
BaseRepresentation
bin10110100011101000…
…10111101010000000
31011020222021212200201
423101310113222000
5144300141213440
65321401254544
7606046106155
oct132164275200
934228255621
1012110101120
115154922237
12241b794454
1311acc03c10
1482c4bc22c
154ad26d19a
hex2d1d17a80

12110101120 has 256 divisors, whose sum is σ = 32300674560. Its totient is φ = 4313088000.

The previous prime is 12110101099. The next prime is 12110101121. The reversal of 12110101120 is 2110101121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12110101097 and 12110101106.

It is not an unprimeable number, because it can be changed into a prime (12110101121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44686585 + ... + 44686855.

It is an arithmetic number, because the mean of its divisors is an integer number (126174510).

Almost surely, 212110101120 is an apocalyptic number.

12110101120 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 12110101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16150337280).

12110101120 is an abundant number, since it is smaller than the sum of its proper divisors (20190573440).

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

12110101120 is a wasteful number, since it uses less digits than its factorization.

12110101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12110101120 its reverse (2110101121), we get a palindrome (14220202241).

Subtracting from 12110101120 its reverse (2110101121), we obtain a palindrome (9999999999).

The spelling of 12110101120 in words is "twelve billion, one hundred ten million, one hundred one thousand, one hundred twenty".