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112212211020 = 223571323742727
BaseRepresentation
bin110100010000001011…
…1100111010101001100
3101201122021001221101120
41220200113213111030
53314302311223040
6123314413040540
711051503025160
oct1504027472514
9351567057346
10112212211020
114365295aa88
12198b7786150
13a773915600
145606d1cca0
152dbb4277d0
hex1a205e754c

112212211020 has 288 divisors, whose sum is σ = 399343408128. Its totient is φ = 23035124736.

The previous prime is 112212211019. The next prime is 112212211039. The reversal of 112212211020 is 20112212211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2604897 + ... + 2647623.

It is an arithmetic number, because the mean of its divisors is an integer number (1386609056).

Almost surely, 2112212211020 is an apocalyptic number.

112212211020 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 112212211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199671704064).

112212211020 is an abundant number, since it is smaller than the sum of its proper divisors (287131197108).

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

112212211020 is a wasteful number, since it uses less digits than its factorization.

112212211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42809 (or 42794 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112212211020 its reverse (20112212211), we get a palindrome (132324423231).

The spelling of 112212211020 in words is "one hundred twelve billion, two hundred twelve million, two hundred eleven thousand, twenty".