820004122000 has 120 divisors (see below), whose sum is σ = 2306487788280. Its totient is φ = 281144236800.

The previous prime is 820004121997. The next prime is 820004122051. The reversal of 820004122000 is 221400028.

It can be written as a sum of positive squares in 4 ways, for example, as 110258530704 + 709745591296 = 332052^2 + 842464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4085695 + ... + 4281694.

It is an arithmetic number, because the mean of its divisors is an integer number (19220731569).

Almost surely, 2^820004122000 is an apocalyptic number.

820004122000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820004122000 is an abundant number, since it is smaller than the sum of its proper divisors (1486483666280).

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

820004122000 is a wasteful number, since it uses less digits than its factorization.

820004122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8367426 (or 8367403 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 820004122000 its reverse (221400028), we get a palindrome (820225522028).

The spelling of 820004122000 in words is "eight hundred twenty billion, four million, one hundred twenty-two thousand".