1114435120 has 160 divisors (see below), whose sum is σ = 2865530880. Its totient is φ = 401448960.

The previous prime is 1114435103. The next prime is 1114435159. The reversal of 1114435120 is 215344111.

It is a junction number, because it is equal to n+sod(n) for n = 1114435091 and 1114435100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3156864 + ... + 3157216.

It is an arithmetic number, because the mean of its divisors is an integer number (17909568).

Almost surely, 2^1114435120 is an apocalyptic number.

1114435120 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 1114435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432765440).

1114435120 is an abundant number, since it is smaller than the sum of its proper divisors (1751095760).

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

1114435120 is a wasteful number, since it uses less digits than its factorization.

1114435120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1114435120 is about 33383.1562318484. The cubic root of 1114435120 is about 1036.7759872490.

Adding to 1114435120 its reverse (215344111), we get a palindrome (1329779231).

It can be divided in two parts, 11144 and 35120, that added together give a palindrome (46264).

The spelling of 1114435120 in words is "one billion, one hundred fourteen million, four hundred thirty-five thousand, one hundred twenty".