121124864 has 144 divisors (see below), whose sum is σ = 302505840. Its totient is φ = 48168960.

The previous prime is 121124863. The next prime is 121124869. The reversal of 121124864 is 468421121.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121124863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1705949 + ... + 1706019.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 2^121124864 is an apocalyptic number.

121124864 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 121124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151252920).

121124864 is an abundant number, since it is smaller than the sum of its proper divisors (181380976).

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

121124864 is an equidigital number, since it uses as much as digits as its factorization.

121124864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 97 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 121124864 is about 11005.6741728983. The cubic root of 121124864 is about 494.7788203435.

Adding to 121124864 its reverse (468421121), we get a palindrome (589545985).

The spelling of 121124864 in words is "one hundred twenty-one million, one hundred twenty-four thousand, eight hundred sixty-four".