121424400240 has 480 divisors, whose sum is σ = 448286599488. Its totient is φ = 27006566400.

The previous prime is 121424400203. The next prime is 121424400259. The reversal of 121424400240 is 42004424121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121424400240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68330232 + ... + 68332008.

Almost surely, 2^121424400240 is an apocalyptic number.

121424400240 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 121424400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224143299744).

121424400240 is an abundant number, since it is smaller than the sum of its proper divisors (326862199248).

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

121424400240 is a wasteful number, since it uses less digits than its factorization.

121424400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 121424400240 its reverse (42004424121), we get a palindrome (163428824361).

The spelling of 121424400240 in words is "one hundred twenty-one billion, four hundred twenty-four million, four hundred thousand, two hundred forty".