122055000 has 160 divisors (see below), whose sum is σ = 389875200. Its totient is φ = 31824000.

The previous prime is 122054987. The next prime is 122055023. The reversal of 122055000 is 550221.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 39 ways as a sum of consecutive naturals, for example, 1184949 + ... + 1185051.

It is an arithmetic number, because the mean of its divisors is an integer number (2436720).

Almost surely, 2^122055000 is an apocalyptic number.

122055000 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 122055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194937600).

122055000 is an abundant number, since it is smaller than the sum of its proper divisors (267820200).

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

122055000 is a wasteful number, since it uses less digits than its factorization.

122055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 122055000 is about 11047.8504696615. The cubic root of 122055000 is about 496.0420858323.

It can be divided in two parts, 12205 and 5000, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 122055000 in words is "one hundred twenty-two million, fifty-five thousand".