1166121600 has 576 divisors, whose sum is σ = 4657246560. Its totient is φ = 255467520.

The previous prime is 1166121587. The next prime is 1166121611. The reversal of 1166121600 is 61216611.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17404767 + ... + 17404833.

Almost surely, 2^1166121600 is an apocalyptic number.

1166121600 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 1166121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328623280).

1166121600 is an abundant number, since it is smaller than the sum of its proper divisors (3491124960).

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

1166121600 is a wasteful number, since it uses less digits than its factorization.

1166121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1166121600 is about 34148.5226620421. The cubic root of 1166121600 is about 1052.5626294487.

The spelling of 1166121600 in words is "one billion, one hundred sixty-six million, one hundred twenty-one thousand, six hundred".