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12020111001 = 321778562817
BaseRepresentation
bin10110011000111010…
…00101011010011001
31011000200221220110100
423030131011122121
5144104122023001
65304424410013
7603604154253
oct131435053231
934020856410
1012020111001
115109048338
1223b5616909
131197386622
14820574cd3
154a53e4586
hex2cc745699

12020111001 has 12 divisors (see below), whose sum is σ = 18383699412. Its totient is φ = 7542030336.

The previous prime is 12020110981. The next prime is 12020111009. The reversal of 12020111001 is 10011102021.

It is a happy number.

12020111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4038475401 + 7981635600 = 63549^2 + 89340^2 .

It is not a de Polignac number, because 12020111001 - 25 = 12020110969 is a prime.

It is a super-2 number, since 2×120201110012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12020111009) 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, 39281256 + ... + 39281561.

It is an arithmetic number, because the mean of its divisors is an integer number (1531974951).

Almost surely, 212020111001 is an apocalyptic number.

It is an amenable number.

12020111001 is a deficient number, since it is larger than the sum of its proper divisors (6363588411).

12020111001 is a wasteful number, since it uses less digits than its factorization.

12020111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78562840 (or 78562837 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12020111001 its reverse (10011102021), we get a palindrome (22031213022).

The spelling of 12020111001 in words is "twelve billion, twenty million, one hundred eleven thousand, one".

Divisors: 1 3 9 17 51 153 78562817 235688451 707065353 1335567889 4006703667 12020111001