122210012222120 has 128 divisors (see below), whose sum is σ = 295689942266400. Its totient is φ = 45296015671296.

The previous prime is 122210012222119. The next prime is 122210012222153. The reversal of 122210012222120 is 21222210012221.

It can be written as a sum of positive squares in 16 ways, for example, as 60881159759044 + 61328852463076 = 7802638^2 + 7831274^2 .

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 = 122210012222092 and 122210012222101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6385844 + ... + 16887836.

Almost surely, 2^{122210012222120} is an apocalyptic number.

122210012222120 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 122210012222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147844971133200).

122210012222120 is an abundant number, since it is smaller than the sum of its proper divisors (173479930044280).

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

122210012222120 is a wasteful number, since it uses less digits than its factorization.

122210012222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10502287 (or 10502283 counting only the distinct ones).

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

Adding to 122210012222120 its reverse (21222210012221), we get a palindrome (143432222234341).

The spelling of 122210012222120 in words is "one hundred twenty-two trillion, two hundred ten billion, twelve million, two hundred twenty-two thousand, one hundred twenty".