20121122000020 has 24 divisors (see below), whose sum is σ = 42254490133800. Its totient is φ = 8048423288832.

The previous prime is 20121122000009. The next prime is 20121122000027. The reversal of 20121122000020 is 2000022112102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1634802616836 + 18486319383184 = 1278594^2 + 4299572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121122000027) 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 7 ways as a sum of consecutive naturals, for example, 5683236 + ... + 8517124.

It is an arithmetic number, because the mean of its divisors is an integer number (1760603755575).

Almost surely, 2^{20121122000020} is an apocalyptic number.

20121122000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121122000020 is an abundant number, since it is smaller than the sum of its proper divisors (22133368133780).

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

20121122000020 is a wasteful number, since it uses less digits than its factorization.

20121122000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188907 (or 3188905 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20121122000020 its reverse (2000022112102), we get a palindrome (22121144112122).

The spelling of 20121122000020 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-two million, twenty", and thus it is an aban number.