122022121000 has 128 divisors (see below), whose sum is σ = 310320410400. Its totient is φ = 44640460800.

The previous prime is 122022120989. The next prime is 122022121003. The reversal of 122022121000 is 121220221.

It is a happy number.

122022121000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 50304209796 + 71717911204 = 224286^2 + 267802^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (122022121003) 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 31 ways as a sum of consecutive naturals, for example, 1373944 + ... + 1460056.

Almost surely, 2^122022121000 is an apocalyptic number.

122022121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122022121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155160205200).

122022121000 is an abundant number, since it is smaller than the sum of its proper divisors (188298289400).

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

122022121000 is a wasteful number, since it uses less digits than its factorization.

122022121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86256 (or 86242 counting only the distinct ones).

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

Adding to 122022121000 its reverse (121220221), we get a palindrome (122143341221).

The spelling of 122022121000 in words is "one hundred twenty-two billion, twenty-two million, one hundred twenty-one thousand".