121813440000 has 400 divisors, whose sum is σ = 463475240448. Its totient is φ = 27841536000.

The previous prime is 121813439987. The next prime is 121813440031. The reversal of 121813440000 is 44318121.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6710937 + ... + 6729063.

Almost surely, 2^121813440000 is an apocalyptic number.

121813440000 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 121813440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231737620224).

121813440000 is an abundant number, since it is smaller than the sum of its proper divisors (341661800448).

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

121813440000 is an frugal number, since it uses more digits than its factorization.

121813440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18175 (or 18144 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 121813440000 its reverse (44318121), we get a palindrome (121857758121).

The spelling of 121813440000 in words is "one hundred twenty-one billion, eight hundred thirteen million, four hundred forty thousand".