1114467120 has 480 divisors, whose sum is σ = 4313295360. Its totient is φ = 264176640.

The previous prime is 1114467103. The next prime is 1114467157. The reversal of 1114467120 is 217644111.

It is a super-2 number, since 2×1114467120² = 2484073923122188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15696685 + ... + 15696755.

It is an arithmetic number, because the mean of its divisors is an integer number (8986032).

Almost surely, 2^1114467120 is an apocalyptic number.

1114467120 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 1114467120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156647680).

1114467120 is an abundant number, since it is smaller than the sum of its proper divisors (3198828240).

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

1114467120 is a wasteful number, since it uses less digits than its factorization.

1114467120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1114467120 is about 33383.6355120289. The cubic root of 1114467120 is about 1036.7859105167.

The spelling of 1114467120 in words is "one billion, one hundred fourteen million, four hundred sixty-seven thousand, one hundred twenty".