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12000122172 = 2232793342019
BaseRepresentation
bin10110010110100001…
…10101010100111100
31010222022100100221100
423023100311110330
5144034012402142
65302432133100
7603242232633
oct131320652474
933868310840
1012000122172
1150a8835445
1223aa997190
1311931a830c
1481ba5051a
154a3796b4c
hex2cb43553c

12000122172 has 36 divisors (see below), whose sum is σ = 30338187880. Its totient is φ = 3999441312.

The previous prime is 12000122171. The next prime is 12000122219. The reversal of 12000122172 is 27122100021.

It is a happy number.

12000122172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000122171) 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 11 ways as a sum of consecutive naturals, for example, 264579 + ... + 306597.

Almost surely, 212000122172 is an apocalyptic number.

12000122172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000122172 is an abundant number, since it is smaller than the sum of its proper divisors (18338065708).

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

12000122172 is a wasteful number, since it uses less digits than its factorization.

12000122172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49962 (or 49957 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 12000122172 its reverse (27122100021), we get a palindrome (39122222193).

The spelling of 12000122172 in words is "twelve billion, one hundred twenty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 7933 15866 23799 31732 42019 47598 71397 84038 95196 126057 142794 168076 252114 285588 378171 504228 756342 1512684 333336727 666673454 1000010181 1333346908 2000020362 3000030543 4000040724 6000061086 12000122172