122210001022120 has 384 divisors, whose sum is σ = 314068574448000. Its totient is φ = 42394480128000.

The previous prime is 122210001022111. The next prime is 122210001022169. The reversal of 122210001022120 is 21220100012221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122210001022094 and 122210001022103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111811528294 + ... + 111811529386.

It is an arithmetic number, because the mean of its divisors is an integer number (817886912625).

Almost surely, 2^{122210001022120} is an apocalyptic number.

122210001022120 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 122210001022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157034287224000).

122210001022120 is an abundant number, since it is smaller than the sum of its proper divisors (191858573425880).

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

122210001022120 is a wasteful number, since it uses less digits than its factorization.

122210001022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122210001022120 its reverse (21220100012221), we get a palindrome (143430101034341).

The spelling of 122210001022120 in words is "one hundred twenty-two trillion, two hundred ten billion, one million, twenty-two thousand, one hundred twenty".