121105824 has 96 divisors (see below), whose sum is σ = 384725376. Its totient is φ = 32563200.

The previous prime is 121105823. The next prime is 121105837. The reversal of 121105824 is 428501121.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 121105794 and 121105803.

It is not an unprimeable number, because it can be changed into a prime (121105823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6124 + ... + 16724.

It is an arithmetic number, because the mean of its divisors is an integer number (4007556).

Almost surely, 2^121105824 is an apocalyptic number.

121105824 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 121105824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192362688).

121105824 is an abundant number, since it is smaller than the sum of its proper divisors (263619552).

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

121105824 is a wasteful number, since it uses less digits than its factorization.

121105824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10638 (or 10630 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 121105824 is about 11004.8091305574. The cubic root of 121105824 is about 494.7528937030.

Adding to 121105824 its reverse (428501121), we get a palindrome (549606945).

The spelling of 121105824 in words is "one hundred twenty-one million, one hundred five thousand, eight hundred twenty-four".