121430400 has 384 divisors, whose sum is σ = 495801600. Its totient is φ = 25436160.

The previous prime is 121430383. The next prime is 121430423. The reversal of 121430400 is 4034121.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 121430400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873531 + ... + 873669.

It is an arithmetic number, because the mean of its divisors is an integer number (1291150).

Almost surely, 2^121430400 is an apocalyptic number.

121430400 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 121430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247900800).

121430400 is an abundant number, since it is smaller than the sum of its proper divisors (374371200).

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

121430400 is a wasteful number, since it uses less digits than its factorization.

121430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 121430400 is about 11019.5462701511. The cubic root of 121430400 is about 495.1944955512.

Adding to 121430400 its reverse (4034121), we get a palindrome (125464521).

The spelling of 121430400 in words is "one hundred twenty-one million, four hundred thirty thousand, four hundred".