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112112220211020 = 22335436971692621
BaseRepresentation
bin11001011111011100101001…
…000011111000011101001100
3112200221211020101112000102000
4121133130221003320131030
5104143321311333223040
61034235350513232300
732420561221212531
oct3137345103703514
9480854211460360
10112112220211020
11327a4586605527
12106a8123862690
134a731a1cbc553
141d983907d2d88
15ce6469698130
hex65f7290f874c

112112220211020 has 192 divisors, whose sum is σ = 356956766369280. Its totient is φ = 29197091347200.

The previous prime is 112112220210979. The next prime is 112112220211027. The reversal of 112112220211020 is 20112022211211.

112112220211020 is a `hidden beast` number, since 1 + 1 + 211 + 2 + 220 + 211 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112112220210984 and 112112220211002.

It is not an unprimeable number, because it can be changed into a prime (112112220211027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161520310 + ... + 162212930.

It is an arithmetic number, because the mean of its divisors is an integer number (1859149824840).

Almost surely, 2112112220211020 is an apocalyptic number.

112112220211020 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 112112220211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178478383184640).

112112220211020 is an abundant number, since it is smaller than the sum of its proper divisors (244844546158260).

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

112112220211020 is a wasteful number, since it uses less digits than its factorization.

112112220211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699653 (or 699645 counting only the distinct ones).

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

Adding to 112112220211020 its reverse (20112022211211), we get a palindrome (132224242422231).

The spelling of 112112220211020 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred twenty million, two hundred eleven thousand, twenty".