122784278400 has 864 divisors, whose sum is σ = 513688528080. Its totient is φ = 27843379200.

The previous prime is 122784278381. The next prime is 122784278429. The reversal of 122784278400 is 4872487221.

122784278400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 235670140 + ... + 235670660.

Almost surely, 2^122784278400 is an apocalyptic number.

122784278400 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 122784278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256844264040).

122784278400 is an abundant number, since it is smaller than the sum of its proper divisors (390904249680).

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

122784278400 is a wasteful number, since it uses less digits than its factorization.

122784278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 122784278400 in words is "one hundred twenty-two billion, seven hundred eighty-four million, two hundred seventy-eight thousand, four hundred".