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12010212100 = 2252120102121
BaseRepresentation
bin10110010111101110…
…10100101100000100
31011000000022222201101
423023313110230010
5144044103241400
65303432305444
7603424055425
oct131367245404
934000288641
1012010212100
1151034a7127
1223b2242284
1311952cbaa3
1481d11964c
154a45db56a
hex2cbdd4b04

12010212100 has 18 divisors (see below), whose sum is σ = 26062160474. Its totient is φ = 4804084800.

The previous prime is 12010212083. The next prime is 12010212101. The reversal of 12010212100 is 121201021.

12010212100 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 3 ways, for example, as 3438415044 + 8571797056 = 58638^2 + 92584^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12010212101) 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 5 ways as a sum of consecutive naturals, for example, 60050961 + ... + 60051160.

Almost surely, 212010212100 is an apocalyptic number.

12010212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010212100 is an abundant number, since it is smaller than the sum of its proper divisors (14051948374).

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

12010212100 is a wasteful number, since it uses less digits than its factorization.

12010212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120102135 (or 120102128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12010212100 its reverse (121201021), we get a palindrome (12131413121).

The spelling of 12010212100 in words is "twelve billion, ten million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120102121 240204242 480408484 600510605 1201021210 2402042420 3002553025 6005106050 12010212100