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112120010112 = 27311711732161
BaseRepresentation
bin110100001101011011…
…1111001010110000000
3101201101211120122112010
41220122313321112000
53314110210310422
6123301320532520
711046303234645
oct1503267712600
9351354518463
10112120010112
1143605906090
1219890921140
13a75a7a2966
1455d899bdcc
152db32b3b0c
hex1a1adf9580

112120010112 has 256 divisors, whose sum is σ = 331526960640. Its totient is φ = 33288192000.

The previous prime is 112120010111. The next prime is 112120010131. The reversal of 112120010112 is 211010021211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120010111) 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, 51882312 + ... + 51884472.

It is an arithmetic number, because the mean of its divisors is an integer number (1295027190).

Almost surely, 2112120010112 is an apocalyptic number.

112120010112 is a gapful number since it is divisible by the number (12) 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 112120010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165763480320).

112120010112 is an abundant number, since it is smaller than the sum of its proper divisors (219406950528).

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

112120010112 is a wasteful number, since it uses less digits than its factorization.

112120010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2421 counting only the distinct ones).

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

Adding to 112120010112 its reverse (211010021211), we get a palindrome (323130031323).

The spelling of 112120010112 in words is "one hundred twelve billion, one hundred twenty million, ten thousand, one hundred twelve".