121991196700800 has 1152 divisors, whose sum is σ = 526432045776000. Its totient is φ = 27883641139200.

The previous prime is 121991196700799. The next prime is 121991196700883. The reversal of 121991196700800 is 8007691199121.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 266488110 + ... + 266945490.

Almost surely, 2^{121991196700800} is an apocalyptic number.

121991196700800 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 121991196700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263216022888000).

121991196700800 is an abundant number, since it is smaller than the sum of its proper divisors (404440849075200).

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

121991196700800 is an frugal number, since it uses more digits than its factorization.

121991196700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457441 (or 457398 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 54.

The spelling of 121991196700800 in words is "one hundred twenty-one trillion, nine hundred ninety-one billion, one hundred ninety-six million, seven hundred thousand, eight hundred".