121150346470800 has 240 divisors, whose sum is σ = 398651826197760. Its totient is φ = 31427443998720.

The previous prime is 121150346470691. The next prime is 121150346470871. The reversal of 121150346470800 is 8074643051121.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228528441 + ... + 229057959.

It is an arithmetic number, because the mean of its divisors is an integer number (1661049275824).

Almost surely, 2^{121150346470800} is an apocalyptic number.

121150346470800 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 121150346470800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199325913098880).

121150346470800 is an abundant number, since it is smaller than the sum of its proper divisors (277501479726960).

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

121150346470800 is a wasteful number, since it uses less digits than its factorization.

121150346470800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534730 (or 534719 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 121150346470800 in words is "one hundred twenty-one trillion, one hundred fifty billion, three hundred forty-six million, four hundred seventy thousand, eight hundred".