122202101122220 has 192 divisors, whose sum is σ = 297326453760000. Its totient is φ = 41322969870336.

The previous prime is 122202101122187. The next prime is 122202101122369. The reversal of 122202101122220 is 22221101202221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122202101122192 and 122202101122201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20928598061 + ... + 20928603899.

It is an arithmetic number, because the mean of its divisors is an integer number (1548575280000).

Almost surely, 2^{122202101122220} is an apocalyptic number.

122202101122220 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 122202101122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148663226880000).

122202101122220 is an abundant number, since it is smaller than the sum of its proper divisors (175124352637780).

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

122202101122220 is a wasteful number, since it uses less digits than its factorization.

122202101122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9880 (or 9878 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122202101122220 its reverse (22221101202221), we get a palindrome (144423202324441).

The spelling of 122202101122220 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred one million, one hundred twenty-two thousand, two hundred twenty".