121166724 has 144 divisors (see below), whose sum is σ = 355891200. Its totient is φ = 31337280.

The previous prime is 121166723. The next prime is 121166729. The reversal of 121166724 is 427661121.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121166691 and 121166700.

It is not an unprimeable number, because it can be changed into a prime (121166723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1533717 + ... + 1533795.

Almost surely, 2^121166724 is an apocalyptic number.

121166724 is a gapful number since it is divisible by the number (14) 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 121166724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177945600).

121166724 is an abundant number, since it is smaller than the sum of its proper divisors (234724476).

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

121166724 is a wasteful number, since it uses less digits than its factorization.

121166724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 141 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 121166724 is about 11007.5757549063. The cubic root of 121166724 is about 494.8358112735.

The spelling of 121166724 in words is "one hundred twenty-one million, one hundred sixty-six thousand, seven hundred twenty-four".