122102120020000 has 120 divisors (see below), whose sum is σ = 300928857000156. Its totient is φ = 48753158016000.

The previous prime is 122102120019989. The next prime is 122102120020009. The reversal of 122102120020000 is 20021201221.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 25666341910416 + 96435778109584 = 5066196^2 + 9820172^2 .

It is not an unprimeable number, because it can be changed into a prime (122102120020009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5659654 + ... + 16620346.

Almost surely, 2^{122102120020000} is an apocalyptic number.

122102120020000 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 122102120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150464428500078).

122102120020000 is an abundant number, since it is smaller than the sum of its proper divisors (178826736980156).

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

122102120020000 is an equidigital number, since it uses as much as digits as its factorization.

122102120020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10961280 (or 10961257 counting only the distinct ones).

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

Adding to 122102120020000 its reverse (20021201221), we get a palindrome (122122141221221).

The spelling of 122102120020000 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twenty million, twenty thousand".