1114629120 has 352 divisors, whose sum is σ = 4327194240. Its totient is φ = 269844480.

The previous prime is 1114629083. The next prime is 1114629127. The reversal of 1114629120 is 219264111.

1114629120 is a `hidden beast` number, since 1 + 1 + 14 + 629 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is not an unprimeable number, because it can be changed into a prime (1114629127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520274 + ... + 1521006.

Almost surely, 2^1114629120 is an apocalyptic number.

1114629120 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 1114629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163597120).

1114629120 is an abundant number, since it is smaller than the sum of its proper divisors (3212565120).

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

1114629120 is a wasteful number, since it uses less digits than its factorization.

1114629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1114629120 is about 33386.0617623583. The cubic root of 1114629120 is about 1036.8361441446.

The spelling of 1114629120 in words is "one billion, one hundred fourteen million, six hundred twenty-nine thousand, one hundred twenty".