122010120000020 has 144 divisors (see below), whose sum is σ = 302654612372112. Its totient is φ = 41190620405760.

The previous prime is 122010119999981. The next prime is 122010120000023. The reversal of 122010120000020 is 20000021010221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20875358929936 + 101134761070084 = 4568956^2 + 10056578^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122010119999956 and 122010120000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010120000023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15469190 + ... + 21984450.

It is an arithmetic number, because the mean of its divisors is an integer number (2101768141473).

Almost surely, 2^{122010120000020} is an apocalyptic number.

122010120000020 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 122010120000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151327306186056).

122010120000020 is an abundant number, since it is smaller than the sum of its proper divisors (180644492372092).

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

122010120000020 is a wasteful number, since it uses less digits than its factorization.

122010120000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6515578 (or 6515569 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122010120000020 its reverse (20000021010221), we get a palindrome (142010141010241).

The spelling of 122010120000020 in words is "one hundred twenty-two trillion, ten billion, one hundred twenty million, twenty", and thus it is an aban number.