121012113301200 has 1440 divisors, whose sum is σ = 487635994834560. Its totient is φ = 27482731315200.

The previous prime is 121012113301169. The next prime is 121012113301217. The reversal of 121012113301200 is 2103311210121.

121012113301200 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 1 + 211 + 330 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25121881192 + ... + 25121886008.

It is an arithmetic number, because the mean of its divisors is an integer number (338636107524).

Almost surely, 2^{121012113301200} is an apocalyptic number.

121012113301200 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 121012113301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243817997417280).

121012113301200 is an abundant number, since it is smaller than the sum of its proper divisors (366623881533360).

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

121012113301200 is a wasteful number, since it uses less digits than its factorization.

121012113301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237 (or 5223 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121012113301200 its reverse (2103311210121), we get a palindrome (123115424511321).

The spelling of 121012113301200 in words is "one hundred twenty-one trillion, twelve billion, one hundred thirteen million, three hundred one thousand, two hundred".