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12212000020100 = 2252122120000201
BaseRepresentation
bin1011000110110101001111…
…1011000101011010000100
31121020110022021111222012202
42301231103323011122010
53100040134001120400
641550040530134032
72400200513315606
oct261552373053204
947213267458182
1012212000020100
113989097710791
121452926121318
136a7781b7c76a
143030c76c5176
151629deb1b4d5
hexb1b53ec5684

12212000020100 has 18 divisors (see below), whose sum is σ = 26500040043834. Its totient is φ = 4884800008000.

The previous prime is 12212000020039. The next prime is 12212000020111. The reversal of 12212000020100 is 102000021221.

It is a happy number.

12212000020100 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 1216979636224 + 10995020383876 = 1103168^2 + 3315874^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61060000001 + ... + 61060000200.

Almost surely, 212212000020100 is an apocalyptic number.

12212000020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212000020100 is an abundant number, since it is smaller than the sum of its proper divisors (14288040023734).

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

12212000020100 is a wasteful number, since it uses less digits than its factorization.

12212000020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122120000215 (or 122120000208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12212000020100 its reverse (102000021221), we get a palindrome (12314000041321).

The spelling of 12212000020100 in words is "twelve trillion, two hundred twelve billion, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122120000201 244240000402 488480000804 610600001005 1221200002010 2442400004020 3053000005025 6106000010050 12212000020100