121124164 has 72 divisors (see below), whose sum is σ = 267297408. Its totient is φ = 46949760.

The previous prime is 121124147. The next prime is 121124173. The reversal of 121124164 is 461421121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232224 + ... + 232744.

It is an arithmetic number, because the mean of its divisors is an integer number (3712464).

Almost surely, 2^121124164 is an apocalyptic number.

121124164 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 121124164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133648704).

121124164 is an abundant number, since it is smaller than the sum of its proper divisors (146173244).

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

121124164 is a wasteful number, since it uses less digits than its factorization.

121124164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 572 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 121124164 is about 11005.6423710749. The cubic root of 121124164 is about 494.7778672063. Note that the first 3 decimals are identical.

Adding to 121124164 its reverse (461421121), we get a palindrome (582545285).

The spelling of 121124164 in words is "one hundred twenty-one million, one hundred twenty-four thousand, one hundred sixty-four".