122760000 has 420 divisors, whose sum is σ = 495141504. Its totient is φ = 28800000.

The previous prime is 122759981. The next prime is 122760017. The reversal of 122760000 is 67221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3959985 + ... + 3960015.

Almost surely, 2^122760000 is an apocalyptic number.

122760000 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 122760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247570752).

122760000 is an abundant number, since it is smaller than the sum of its proper divisors (372381504).

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

122760000 is a wasteful number, since it uses less digits than its factorization.

122760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 122760000 is about 11079.7111875716. The cubic root of 122760000 is about 496.9953132170.

The spelling of 122760000 in words is "one hundred twenty-two million, seven hundred sixty thousand".