121389914800 has 360 divisors, whose sum is σ = 374832437760. Its totient is φ = 37351641600.

The previous prime is 121389914773. The next prime is 121389914839. The reversal of 121389914800 is 8419983121.

It is a super-2 number, since 2×121389914800² (a number of 23 digits) contains 22 as substring.

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, 17028837 + ... + 17035963.

It is an arithmetic number, because the mean of its divisors is an integer number (1041201216).

Almost surely, 2^121389914800 is an apocalyptic number.

121389914800 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 121389914800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187416218880).

121389914800 is an abundant number, since it is smaller than the sum of its proper divisors (253442522960).

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

121389914800 is a wasteful number, since it uses less digits than its factorization.

121389914800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249 (or 7231 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The spelling of 121389914800 in words is "one hundred twenty-one billion, three hundred eighty-nine million, nine hundred fourteen thousand, eight hundred".