122774400 has 576 divisors, whose sum is σ = 540702000. Its totient is φ = 27095040.

The previous prime is 122774389. The next prime is 122774401. The reversal of 122774400 is 4477221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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 (122774401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4233586 + ... + 4233614.

Almost surely, 2^122774400 is an apocalyptic number.

122774400 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 122774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270351000).

122774400 is an abundant number, since it is smaller than the sum of its proper divisors (417927600).

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

122774400 is a wasteful number, since it uses less digits than its factorization.

122774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 122774400 is about 11080.3610049493. The cubic root of 122774400 is about 497.0147453140.

The spelling of 122774400 in words is "one hundred twenty-two million, seven hundred seventy-four thousand, four hundred".