122056000 has 224 divisors, whose sum is σ = 351861120. Its totient is φ = 41472000.

The previous prime is 122055991. The next prime is 122056013. The reversal of 122056000 is 650221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1671964 + ... + 1672036.

Almost surely, 2^122056000 is an apocalyptic number.

122056000 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 122056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175930560).

122056000 is an abundant number, since it is smaller than the sum of its proper divisors (229805120).

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

122056000 is a wasteful number, since it uses less digits than its factorization.

122056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 122056000 is about 11047.8957272415. The cubic root of 122056000 is about 496.0434405241.

The spelling of 122056000 in words is "one hundred twenty-two million, fifty-six thousand".