121424400 has 120 divisors (see below), whose sum is σ = 432219360. Its totient is φ = 32376960.

The previous prime is 121424377. The next prime is 121424437. The reversal of 121424400 is 4424121.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5179 + ... + 16421.

It is an arithmetic number, because the mean of its divisors is an integer number (3601828).

Almost surely, 2^121424400 is an apocalyptic number.

121424400 is a gapful number since it is divisible by the number (10) 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 121424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216109680).

121424400 is an abundant number, since it is smaller than the sum of its proper divisors (310794960).

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

121424400 is a wasteful number, since it uses less digits than its factorization.

121424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11270 (or 11253 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 121424400 is about 11019.2740232739. The cubic root of 121424400 is about 495.1863393950.

Adding to 121424400 its reverse (4424121), we get a palindrome (125848521).

The spelling of 121424400 in words is "one hundred twenty-one million, four hundred twenty-four thousand, four hundred".