1146117120 has 352 divisors, whose sum is σ = 3961681920. Its totient is φ = 282132480.

The previous prime is 1146117109. The next prime is 1146117127. The reversal of 1146117120 is 217116411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146117127) 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, 13808599 + ... + 13808681.

Almost surely, 2^1146117120 is an apocalyptic number.

1146117120 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 1146117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980840960).

1146117120 is an abundant number, since it is smaller than the sum of its proper divisors (2815564800).

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

1146117120 is a wasteful number, since it uses less digits than its factorization.

1146117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 1146117120 is about 33854.3515666746. The cubic root of 1146117120 is about 1046.5090778379.

The spelling of 1146117120 in words is "one billion, one hundred forty-six million, one hundred seventeen thousand, one hundred twenty".