122020102122120 has 512 divisors, whose sum is σ = 422901596160000. Its totient is φ = 31260729738240.

The previous prime is 122020102122109. The next prime is 122020102122167. The reversal of 122020102122120 is 21221201020221.

It is a happy number.

122020102122120 is a `hidden beast` number, since 1 + 220 + 20 + 1 + 0 + 212 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122020102122093 and 122020102122102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11009658099 + ... + 11009669181.

It is an arithmetic number, because the mean of its divisors is an integer number (825979680000).

Almost surely, 2^{122020102122120} is an apocalyptic number.

122020102122120 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 122020102122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211450798080000).

122020102122120 is an abundant number, since it is smaller than the sum of its proper divisors (300881494037880).

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

122020102122120 is a wasteful number, since it uses less digits than its factorization.

122020102122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13490 (or 13480 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122020102122120 its reverse (21221201020221), we get a palindrome (143241303142341).

The spelling of 122020102122120 in words is "one hundred twenty-two trillion, twenty billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty".