122221210000120 has 256 divisors, whose sum is σ = 349355055559680. Its totient is φ = 37372747776000.

The previous prime is 122221210000103. The next prime is 122221210000147. The reversal of 122221210000120 is 21000012122221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122221210000094 and 122221210000103.

It is a congruent number.

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, 2246644920 + ... + 2246699320.

It is an arithmetic number, because the mean of its divisors is an integer number (1364668185780).

Almost surely, 2^{122221210000120} is an apocalyptic number.

122221210000120 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 122221210000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174677527779840).

122221210000120 is an abundant number, since it is smaller than the sum of its proper divisors (227133845559560).

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

122221210000120 is a wasteful number, since it uses less digits than its factorization.

122221210000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68246 (or 68242 counting only the distinct ones).

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

Adding to 122221210000120 its reverse (21000012122221), we get a palindrome (143221222122341).

The spelling of 122221210000120 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred ten million, one hundred twenty", and thus it is an aban number.