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12020001012 = 22321572126681
BaseRepresentation
bin10110011000111001…
…01010100011110100
31011000200202022120200
423030130222203310
5144104110013022
65304422200500
7603603215505
oct131434524364
934020668520
1012020001012
115108a82738
1223b5583130
131197348546
14820546bac
154a53c1bac
hex2cc72a8f4

12020001012 has 36 divisors (see below), whose sum is σ = 30577433796. Its totient is φ = 3981144960.

The previous prime is 12020000983. The next prime is 12020001047. The reversal of 12020001012 is 21010002021.

12020001012 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 2629228176 + 9390772836 = 51276^2 + 96906^2 .

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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 12020000985 and 12020001003.

It is a congruent number.

It is an unprimeable number.

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, 1057689 + ... + 1068992.

It is an arithmetic number, because the mean of its divisors is an integer number (849373161).

Almost surely, 212020001012 is an apocalyptic number.

12020001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12020001012 is an abundant number, since it is smaller than the sum of its proper divisors (18557432784).

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

12020001012 is a wasteful number, since it uses less digits than its factorization.

12020001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126848 (or 2126843 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12020001012 its reverse (21010002021), we get a palindrome (33030003033).

The spelling of 12020001012 in words is "twelve billion, twenty million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 2126681 4253362 6380043 8506724 12760086 19140129 25520172 38280258 76560516 333888917 667777834 1001666751 1335555668 2003333502 3005000253 4006667004 6010000506 12020001012