122000001012120 has 512 divisors, whose sum is σ = 462234569932800. Its totient is φ = 25021804953600.

The previous prime is 122000001012037. The next prime is 122000001012157. The reversal of 122000001012120 is 21210100000221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122000001012096 and 122000001012105.

It is a congruent number.

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, 2453370697 + ... + 2453420423.

It is an arithmetic number, because the mean of its divisors is an integer number (902801894400).

Almost surely, 2^{122000001012120} is an apocalyptic number.

122000001012120 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 122000001012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231117284966400).

122000001012120 is an abundant number, since it is smaller than the sum of its proper divisors (340234568920680).

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

122000001012120 is a wasteful number, since it uses less digits than its factorization.

122000001012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53199 (or 53195 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122000001012120 its reverse (21210100000221), we get a palindrome (143210101012341).

The spelling of 122000001012120 in words is "one hundred twenty-two trillion, one million, twelve thousand, one hundred twenty".