122782388400 has 720 divisors, whose sum is σ = 502777486848. Its totient is φ = 27164160000.

The previous prime is 122782388389. The next prime is 122782388401. The reversal of 122782388400 is 4883287221.

122782388400 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 8 + 238 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (122782388401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156012807 + ... + 156013593.

Almost surely, 2^122782388400 is an apocalyptic number.

122782388400 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 122782388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251388743424).

122782388400 is an abundant number, since it is smaller than the sum of its proper divisors (379995098448).

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

122782388400 is a wasteful number, since it uses less digits than its factorization.

122782388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 122782388400 in words is "one hundred twenty-two billion, seven hundred eighty-two million, three hundred eighty-eight thousand, four hundred".