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20121221022020 = 2251006061051101
BaseRepresentation
bin1001001001100110101100…
…01110110100000101000100
32122020120101111012110110222
410210303112032310011010
510114131230040201040
6110443321125203512
74144465420506146
oct444632616640504
978216344173428
1020121221022020
1164583a8787068
12230b764260598
13b2c566442c31
144d7c2d806c96
1524d5ec12abb5
hex124cd63b4144

20121221022020 has 12 divisors (see below), whose sum is σ = 42254564146284. Its totient is φ = 8048488408800.

The previous prime is 20121221022017. The next prime is 20121221022059. The reversal of 20121221022020 is 2022012212102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2422573957444 + 17698647064576 = 1556462^2 + 4206976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20121221022020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 503030525531 + ... + 503030525570.

It is an arithmetic number, because the mean of its divisors is an integer number (3521213678857).

Almost surely, 220121221022020 is an apocalyptic number.

20121221022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121221022020 is an abundant number, since it is smaller than the sum of its proper divisors (22133343124264).

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

20121221022020 is a wasteful number, since it uses less digits than its factorization.

20121221022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006061051110 (or 1006061051108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20121221022020 its reverse (2022012212102), we get a palindrome (22143233234122).

The spelling of 20121221022020 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-one million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 1006061051101 2012122102202 4024244204404 5030305255505 10060610511010 20121221022020