1121241400 has 96 divisors (see below), whose sum is σ = 2690988480. Its totient is φ = 434240000.

The previous prime is 1121241397. The next prime is 1121241403. The reversal of 1121241400 is 41421211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1121241397) and next prime (1121241403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121241403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 948810 + ... + 949990.

It is an arithmetic number, because the mean of its divisors is an integer number (28031130).

Almost surely, 2^1121241400 is an apocalyptic number.

1121241400 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 1121241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345494240).

1121241400 is an abundant number, since it is smaller than the sum of its proper divisors (1569747080).

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

1121241400 is a wasteful number, since it uses less digits than its factorization.

1121241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1121241400 is about 33484.9428848251. The cubic root of 1121241400 is about 1038.8823669232.

Adding to 1121241400 its reverse (41421211), we get a palindrome (1162662611).

The spelling of 1121241400 in words is "one billion, one hundred twenty-one million, two hundred forty-one thousand, four hundred".