121242225600 has 504 divisors, whose sum is σ = 462336398160. Its totient is φ = 31213486080.

The previous prime is 121242225589. The next prime is 121242225631. The reversal of 121242225600 is 6522242121.

121242225600 is a `hidden beast` number, since 1 + 2 + 12 + 4 + 22 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11269824 + ... + 11280576.

Almost surely, 2^121242225600 is an apocalyptic number.

121242225600 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 121242225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231168199080).

121242225600 is an abundant number, since it is smaller than the sum of its proper divisors (341094172560).

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

121242225600 is a wasteful number, since it uses less digits than its factorization.

121242225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10819 (or 10792 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 121242225600 its reverse (6522242121), we get a palindrome (127764467721).

The spelling of 121242225600 in words is "one hundred twenty-one billion, two hundred forty-two million, two hundred twenty-five thousand, six hundred".