122145000120 has 576 divisors, whose sum is σ = 471572992800. Its totient is φ = 27179642880.

The previous prime is 122145000091. The next prime is 122145000149. The reversal of 122145000120 is 21000541221.

It is an interprime number because it is at equal distance from previous prime (122145000091) and next prime (122145000149).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122145000093 and 122145000102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153255562 + ... + 153256358.

Almost surely, 2^122145000120 is an apocalyptic number.

122145000120 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 122145000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235786496400).

122145000120 is an abundant number, since it is smaller than the sum of its proper divisors (349427992680).

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

122145000120 is a wasteful number, since it uses less digits than its factorization.

122145000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 122145000120 its reverse (21000541221), we get a palindrome (143145541341).

The spelling of 122145000120 in words is "one hundred twenty-two billion, one hundred forty-five million, one hundred twenty", and thus it is an aban number.