122545920 has 288 divisors, whose sum is σ = 461518848. Its totient is φ = 27131904.

The previous prime is 122545919. The next prime is 122545933. The reversal of 122545920 is 29545221.

122545920 = T₂₅₁ + T₂₅₂ + ... + T₉₀₈.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1263312 + ... + 1263408.

It is an arithmetic number, because the mean of its divisors is an integer number (1602496).

Almost surely, 2^122545920 is an apocalyptic number.

122545920 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 122545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230759424).

122545920 is an abundant number, since it is smaller than the sum of its proper divisors (338972928).

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

122545920 is an equidigital number, since it uses as much as digits as its factorization.

122545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 122545920 is about 11070.0460703648. The cubic root of 122545920 is about 496.7062433116.

The spelling of 122545920 in words is "one hundred twenty-two million, five hundred forty-five thousand, nine hundred twenty".