122001202000 has 160 divisors (see below), whose sum is σ = 308860231680. Its totient is φ = 46548185600.

The previous prime is 122001201979. The next prime is 122001202003. The reversal of 122001202000 is 202100221.

122001202000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4801329 + ... + 4826671.

It is an arithmetic number, because the mean of its divisors is an integer number (1930376448).

Almost surely, 2^122001202000 is an apocalyptic number.

122001202000 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 122001202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154430115840).

122001202000 is an abundant number, since it is smaller than the sum of its proper divisors (186859029680).

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

122001202000 is a wasteful number, since it uses less digits than its factorization.

122001202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25478 (or 25462 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 122001202000 its reverse (202100221), we get a palindrome (122203302221).

The spelling of 122001202000 in words is "one hundred twenty-two billion, one million, two hundred two thousand".