122102122000 has 80 divisors (see below), whose sum is σ = 305423866800. Its totient is φ = 47156659200.

The previous prime is 122102121929. The next prime is 122102122031. The reversal of 122102122000 is 221201221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 62988952576 + 59113169424 = 250976^2 + 243132^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 994605 + ... + 1110604.

It is an arithmetic number, because the mean of its divisors is an integer number (3817798335).

Almost surely, 2^122102122000 is an apocalyptic number.

122102122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102122000 is an abundant number, since it is smaller than the sum of its proper divisors (183321744800).

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

122102122000 is a wasteful number, since it uses less digits than its factorization.

122102122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105261 (or 2105245 counting only the distinct ones).

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

Adding to 122102122000 its reverse (221201221), we get a palindrome (122323323221).

The spelling of 122102122000 in words is "one hundred twenty-two billion, one hundred two million, one hundred twenty-two thousand".