122006874780 has 288 divisors, whose sum is σ = 447145574400. Its totient is φ = 27533810304.

The previous prime is 122006874757. The next prime is 122006874833. The reversal of 122006874780 is 87478600221.

122006874780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2061157 + ... + 2119523.

It is an arithmetic number, because the mean of its divisors is an integer number (1552588800).

Almost surely, 2^122006874780 is an apocalyptic number.

122006874780 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 122006874780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223572787200).

122006874780 is an abundant number, since it is smaller than the sum of its proper divisors (325138699620).

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

122006874780 is a wasteful number, since it uses less digits than its factorization.

122006874780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58478 (or 58463 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 122006874780 in words is "one hundred twenty-two billion, six million, eight hundred seventy-four thousand, seven hundred eighty".