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112210212000 = 2535359158489
BaseRepresentation
bin110100010000000111…
…1111111010010100000
3101201122010022101020210
41220200033333102200
53314301303241000
6123314302134120
711051450031135
oct1504017772240
9351563271223
10112210212000
11436518150a7
12198b6b81340
13a773395763
14560695c58c
152dbb180350
hex1a203ff4a0

112210212000 has 192 divisors, whose sum is σ = 373833532800. Its totient is φ = 29415372800.

The previous prime is 112210211977. The next prime is 112210212007. The reversal of 112210212000 is 212012211.

It is a super-2 number, since 2×1122102120002 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112210212007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 628756 + ... + 787244.

It is an arithmetic number, because the mean of its divisors is an integer number (1947049650).

Almost surely, 2112210212000 is an apocalyptic number.

112210212000 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 112210212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186916766400).

112210212000 is an abundant number, since it is smaller than the sum of its proper divisors (261623320800).

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

112210212000 is a wasteful number, since it uses less digits than its factorization.

112210212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158576 (or 158558 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112210212000 its reverse (212012211), we get a palindrome (112422224211).

The spelling of 112210212000 in words is "one hundred twelve billion, two hundred ten million, two hundred twelve thousand".