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12012111012 = 22311315397571
BaseRepresentation
bin10110010111111101…
…00100010010100100
31011000010220110112110
423023332210102210
5144100100023022
65303541121020
7603446154546
oct131376442244
934003813473
1012012111012
115104583880
1223b29b9170
1311958151c5
1481d491696
154a486400c
hex2cbfa44a4

12012111012 has 192 divisors, whose sum is σ = 32546562048. Its totient is φ = 3414528000.

The previous prime is 12012110993. The next prime is 12012111019. The reversal of 12012111012 is 21011121021.

12012111012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120121110122 (a number of 21 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 (12012111019) 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 63 ways as a sum of consecutive naturals, for example, 21036687 + ... + 21037257.

It is an arithmetic number, because the mean of its divisors is an integer number (169513344).

Almost surely, 212012111012 is an apocalyptic number.

12012111012 is a gapful number since it is divisible by the number (12) 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 12012111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16273281024).

12012111012 is an abundant number, since it is smaller than the sum of its proper divisors (20534451036).

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

12012111012 is a wasteful number, since it uses less digits than its factorization.

12012111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 768 counting only the distinct ones).

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

Adding to 12012111012 its reverse (21011121021), we get a palindrome (33023232033).

The spelling of 12012111012 in words is "twelve billion, twelve million, one hundred eleven thousand, twelve".