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122000111112 = 233111531301843
BaseRepresentation
bin111000110011111000…
…1011111011000001000
3102122220101201210010210
41301213301133120020
53444324012023422
6132013541441120
711546163556065
oct1614761373010
9378811653123
10122000111112
1147815978210
121b7897101a0
13b6736a0179
145c94c2dc6c
15329088b10c
hex1c67c5f608

122000111112 has 64 divisors (see below), whose sum is σ = 332946005760. Its totient is φ = 36945460800.

The previous prime is 122000111071. The next prime is 122000111143. The reversal of 122000111112 is 211111000221.

122000111112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1220001111122 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253263 + ... + 555105.

It is an arithmetic number, because the mean of its divisors is an integer number (5202281340).

Almost surely, 2122000111112 is an apocalyptic number.

122000111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122000111112 is an abundant number, since it is smaller than the sum of its proper divisors (210945894648).

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

122000111112 is a wasteful number, since it uses less digits than its factorization.

122000111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303394 (or 303390 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122000111112 its reverse (211111000221), we get a palindrome (333111111333).

The spelling of 122000111112 in words is "one hundred twenty-two billion, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1531 3062 4593 6124 9186 12248 16841 18372 33682 36744 50523 67364 101046 134728 202092 301843 404184 603686 905529 1207372 1811058 2414744 3320273 3622116 6640546 7244232 9960819 13281092 19921638 26562184 39843276 79686552 462121633 924243266 1386364899 1848486532 2772729798 3696973064 5083337963 5545459596 10166675926 11090919192 15250013889 20333351852 30500027778 40666703704 61000055556 122000111112