1122506400 has 288 divisors, whose sum is σ = 3815380800. Its totient is φ = 286433280.

The previous prime is 1122506389. The next prime is 1122506401. The reversal of 1122506400 is 46052211.

It is not an unprimeable number, because it can be changed into a prime (1122506401) 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 47 ways as a sum of consecutive naturals, for example, 7533526 + ... + 7533674.

It is an arithmetic number, because the mean of its divisors is an integer number (13247850).

Almost surely, 2^1122506400 is an apocalyptic number.

1122506400 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 1122506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907690400).

1122506400 is an abundant number, since it is smaller than the sum of its proper divisors (2692874400).

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

1122506400 is a wasteful number, since it uses less digits than its factorization.

1122506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1122506400 is about 33503.8266471160. The cubic root of 1122506400 is about 1039.2729138878.

Adding to 1122506400 its reverse (46052211), we get a palindrome (1168558611).

The spelling of 1122506400 in words is "one billion, one hundred twenty-two million, five hundred six thousand, four hundred".