122181352020 has 864 divisors, whose sum is σ = 485767497600. Its totient is φ = 25406244864.

The previous prime is 122181352019. The next prime is 122181352021. The reversal of 122181352020 is 20253181221.

122181352020 is a `hidden beast` number, since 122 + 1 + 8 + 13 + 520 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122181352019) and next prime (122181352021).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122181352021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 397984707 + ... + 397985013.

It is an arithmetic number, because the mean of its divisors is an integer number (562230900).

Almost surely, 2^122181352020 is an apocalyptic number.

122181352020 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 122181352020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242883748800).

122181352020 is an abundant number, since it is smaller than the sum of its proper divisors (363586145580).

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

122181352020 is a wasteful number, since it uses less digits than its factorization.

122181352020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 122181352020 in words is "one hundred twenty-two billion, one hundred eighty-one million, three hundred fifty-two thousand, twenty".