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20121212020100 = 2252201212120201
BaseRepresentation
bin1001001001100110101011…
…01100011110010110000100
32122020120100212021010011112
410210303111230132112010
510114131220234120400
6110443320204224152
74144465251134402
oct444632554362604
978216325233145
1020121212020100
1164583a3698864
12230b76123b058
13b2c564610759
144d7c2c542472
1524d5eb44d835
hex124cd5b1e584

20121212020100 has 18 divisors (see below), whose sum is σ = 43663030083834. Its totient is φ = 8048484808000.

The previous prime is 20121212020093. The next prime is 20121212020127. The reversal of 20121212020100 is 102021212102.

It can be written as a sum of positive squares in 3 ways, for example, as 3493282816 + 20117718737284 = 59104^2 + 4485278^2 .

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, 100606060001 + ... + 100606060200.

Almost surely, 220121212020100 is an apocalyptic number.

20121212020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121212020100 is an abundant number, since it is smaller than the sum of its proper divisors (23541818063734).

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

20121212020100 is a wasteful number, since it uses less digits than its factorization.

20121212020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201212120215 (or 201212120208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20121212020100 its reverse (102021212102), we get a palindrome (20223233232202).

The spelling of 20121212020100 in words is "twenty trillion, one hundred twenty-one billion, two hundred twelve million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 201212120201 402424240402 804848480804 1006060601005 2012121202010 4024242404020 5030303005025 10060606010050 20121212020100