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112012200112122 = 232419134871101193
BaseRepresentation
bin11001011101111111011111…
…011001011110111111111010
3112200121021001211001112122200
4121131333133121132333322
5104140201441212041442
61034121405551331030
732410420511333622
oct3135773731367772
9480537054045580
10112012200112122
113276611a8a1872
121069086b220a76
134a6692229368b
141d935c2c1d882
15ce3a637dd34c
hex65dfdf65effa

112012200112122 has 48 divisors (see below), whose sum is σ = 243290578527360. Its totient is φ = 37245493682496.

The previous prime is 112012200112069. The next prime is 112012200112129. The reversal of 112012200112122 is 221211002210211.

112012200112122 is a `hidden beast` number, since 11 + 201 + 220 + 0 + 112 + 122 = 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 = 112012200112095 and 112012200112104.

It is not an unprimeable number, because it can be changed into a prime (112012200112129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101168358 + ... + 102269550.

It is an arithmetic number, because the mean of its divisors is an integer number (5068553719320).

Almost surely, 2112012200112122 is an apocalyptic number.

112012200112122 is an abundant number, since it is smaller than the sum of its proper divisors (131278378415238).

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

112012200112122 is a wasteful number, since it uses less digits than its factorization.

112012200112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115107 (or 1115104 counting only the distinct ones).

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

Adding to 112012200112122 its reverse (221211002210211), we get a palindrome (333223202322333).

The spelling of 112012200112122 in words is "one hundred twelve trillion, twelve billion, two hundred million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 419 838 1257 2514 3771 7542 13487 26974 40461 80922 121383 242766 1101193 2202386 3303579 5651053 6607158 9910737 11302106 16953159 19821474 33906318 50859477 101718954 461399867 922799734 1384199601 2768399202 4152598803 8305197606 14851789991 29703579982 44555369973 89110739946 133666109919 267332219838 6222900006229 12445800012458 18668700018687 37337400037374 56006100056061 112012200112122