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112211002122012 = 22351924321793413
BaseRepresentation
bin11001100000111000101000…
…111010111101111100011100
3112201022021012200010000200000
4121200320220322331330130
5104201431113020401022
61034353004524334300
732430656144463243
oct3140705072757434
9481267180100600
10112211002122012
11328324673aa2a2
12107032b16a4390
134a7c5b5343161
141d9d081b7595a
15ce8ceb9c26ac
hex660e28ebdf1c

112211002122012 has 432 divisors, whose sum is σ = 317904800653440. Its totient is φ = 34584962138496.

The previous prime is 112211002121989. The next prime is 112211002122151. The reversal of 112211002122012 is 210221200112211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32877526018 + ... + 32877529430.

Almost surely, 2112211002122012 is an apocalyptic number.

112211002122012 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 112211002122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158952400326720).

112211002122012 is an abundant number, since it is smaller than the sum of its proper divisors (205693798531428).

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

112211002122012 is a wasteful number, since it uses less digits than its factorization.

112211002122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112211002122012 its reverse (210221200112211), we get a palindrome (322432202234223).

The spelling of 112211002122012 in words is "one hundred twelve trillion, two hundred eleven billion, two million, one hundred twenty-two thousand, twelve".