20041204122000 has 240 divisors, whose sum is σ = 70639429077360. Its totient is φ = 5295290112000.

The previous prime is 20041204121969. The next prime is 20041204122001. The reversal of 20041204122000 is 22140214002.

20041204122000 is a `hidden beast` number, since 200 + 41 + 204 + 1 + 220 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6666063024384 + 13375141097616 = 2581872^2 + 3657204^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20041204122001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3145341 + ... + 7069340.

It is an arithmetic number, because the mean of its divisors is an integer number (294330954489).

Almost surely, 2^{20041204122000} is an apocalyptic number.

20041204122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20041204122000 is an abundant number, since it is smaller than the sum of its proper divisors (50598224955360).

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

20041204122000 is a wasteful number, since it uses less digits than its factorization.

20041204122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10214819 (or 10214800 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20041204122000 its reverse (22140214002), we get a palindrome (20063344336002).

The spelling of 20041204122000 in words is "twenty trillion, forty-one billion, two hundred four million, one hundred twenty-two thousand".