1122510400 has 336 divisors, whose sum is σ = 3265505280. Its totient is φ = 375654400.

The previous prime is 1122510383. The next prime is 1122510409. The reversal of 1122510400 is 40152211.

It is a super-4 number, since 4×1122510400⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122510409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19025571 + ... + 19025629.

Almost surely, 2^1122510400 is an apocalyptic number.

1122510400 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 1122510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632752640).

1122510400 is an abundant number, since it is smaller than the sum of its proper divisors (2142994880).

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

1122510400 is a wasteful number, since it uses less digits than its factorization.

1122510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1122510400 is about 33503.8863417365. The cubic root of 1122510400 is about 1039.2741483535.

Adding to 1122510400 its reverse (40152211), we get a palindrome (1162662611).

The spelling of 1122510400 in words is "one billion, one hundred twenty-two million, five hundred ten thousand, four hundred".