1121351640 has 128 divisors (see below), whose sum is σ = 3505420800. Its totient is φ = 286714880.

The previous prime is 1121351639. The next prime is 1121351657. The reversal of 1121351640 is 461531211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1121351640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288349 + ... + 292211.

It is an arithmetic number, because the mean of its divisors is an integer number (27386100).

Almost surely, 2^1121351640 is an apocalyptic number.

1121351640 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 1121351640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752710400).

1121351640 is an abundant number, since it is smaller than the sum of its proper divisors (2384069160).

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

1121351640 is a wasteful number, since it uses less digits than its factorization.

1121351640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1121351640 is about 33486.5889573722. The cubic root of 1121351640 is about 1038.9164133052.

Adding to 1121351640 its reverse (461531211), we get a palindrome (1582882851).

The spelling of 1121351640 in words is "one billion, one hundred twenty-one million, three hundred fifty-one thousand, six hundred forty".