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111012120012 = 2239251010001
BaseRepresentation
bin110011101100011010…
…1101000010111001100
3101121112121220000000110
41213120311220113030
53304323100320022
6122555343000020
711006661310443
oct1473065502714
9347477800013
10111012120012
11430974a1932
1219621899010
13a6120bb8a1
1455317a7d5a
152d4adc000c
hex19d8d685cc

111012120012 has 12 divisors (see below), whose sum is σ = 259028280056. Its totient is φ = 37004040000.

The previous prime is 111012119993. The next prime is 111012120049. The reversal of 111012120012 is 210021210111.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 9251010001 = 111012120012 / (1 + 1 + 1 + 0 + 1 + 2 + 1 + 2 + 0 + 0 + 1 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 111012120012.

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 3 ways as a sum of consecutive naturals, for example, 4625504989 + ... + 4625505012.

Almost surely, 2111012120012 is an apocalyptic number.

111012120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111012120012 is an abundant number, since it is smaller than the sum of its proper divisors (148016160044).

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

111012120012 is a wasteful number, since it uses less digits than its factorization.

111012120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9251010008 (or 9251010006 counting only the distinct ones).

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

Adding to 111012120012 its reverse (210021210111), we get a palindrome (321033330123).

Subtracting 111012120012 from its reverse (210021210111), we obtain a palindrome (99009090099).

The spelling of 111012120012 in words is "one hundred eleven billion, twelve million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 9251010001 18502020002 27753030003 37004040004 55506060006 111012120012