121162464 has 144 divisors (see below), whose sum is σ = 362653200. Its totient is φ = 38320128.

The previous prime is 121162463. The next prime is 121162471. The reversal of 121162464 is 464261121.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121162463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743247 + ... + 743409.

It is an arithmetic number, because the mean of its divisors is an integer number (2518425).

Almost surely, 2^121162464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121162464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181326600).

121162464 is an abundant number, since it is smaller than the sum of its proper divisors (241490736).

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

121162464 is a wasteful number, since it uses less digits than its factorization.

121162464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 121162464 is about 11007.3822501083. The cubic root of 121162464 is about 494.8300120321.

The spelling of 121162464 in words is "one hundred twenty-one million, one hundred sixty-two thousand, four hundred sixty-four".