1131226400 has 72 divisors (see below), whose sum is σ = 2766268260. Its totient is φ = 451727360.

The previous prime is 1131226391. The next prime is 1131226423. The reversal of 1131226400 is 46221311.

It can be written as a sum of positive squares in 6 ways, for example, as 469502224 + 661724176 = 21668^2 + 25724^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 876956 + ... + 878244.

Almost surely, 2^1131226400 is an apocalyptic number.

1131226400 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 1131226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383134130).

1131226400 is an abundant number, since it is smaller than the sum of its proper divisors (1635041860).

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

1131226400 is a wasteful number, since it uses less digits than its factorization.

1131226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1131226400 is about 33633.7092810175. The cubic root of 1131226400 is about 1041.9571135319.

Adding to 1131226400 its reverse (46221311), we get a palindrome (1177447711).

The spelling of 1131226400 in words is "one billion, one hundred thirty-one million, two hundred twenty-six thousand, four hundred".