122512518030 has 192 divisors, whose sum is σ = 344550827520. Its totient is φ = 27797817600.

The previous prime is 122512518001. The next prime is 122512518059. The reversal of 122512518030 is 30815215221.

It is an interprime number because it is at equal distance from previous prime (122512518001) and next prime (122512518059).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 194155815 + ... + 194156445.

It is an arithmetic number, because the mean of its divisors is an integer number (1794535560).

Almost surely, 2^122512518030 is an apocalyptic number.

122512518030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122512518030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172275413760).

122512518030 is an abundant number, since it is smaller than the sum of its proper divisors (222038309490).

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

122512518030 is a wasteful number, since it uses less digits than its factorization.

122512518030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 122512518030 in words is "one hundred twenty-two billion, five hundred twelve million, five hundred eighteen thousand, thirty".