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112320112212 = 223773114183
BaseRepresentation
bin110100010011011001…
…1001110011001010100
3101201220210002220000000
41220212303032121110
53320012422042322
6123333225451300
711054253126000
oct1504663163124
9351823086000
10112320112212
11436a8858820
1219927940b30
13a790094579
1456173a9700
152dc5b3d3ac
hex1a26cce654

112320112212 has 768 divisors, whose sum is σ = 388813824000. Its totient is φ = 28119571200.

The previous prime is 112320112189. The next prime is 112320112217. The reversal of 112320112212 is 212211023211.

112320112212 is a `hidden beast` number, since 112 + 320 + 11 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112320112217) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1353254323 + ... + 1353254405.

It is an arithmetic number, because the mean of its divisors is an integer number (506268000).

Almost surely, 2112320112212 is an apocalyptic number.

112320112212 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 112320112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194406912000).

112320112212 is an abundant number, since it is smaller than the sum of its proper divisors (276493711788).

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

112320112212 is an equidigital number, since it uses as much as digits as its factorization.

112320112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112320112212 its reverse (212211023211), we get a palindrome (324531135423).

The spelling of 112320112212 in words is "one hundred twelve billion, three hundred twenty million, one hundred twelve thousand, two hundred twelve".