121849855200 has 360 divisors, whose sum is σ = 446710971168. Its totient is φ = 32321617920.

The previous prime is 121849855189. The next prime is 121849855207. The reversal of 121849855200 is 2558948121.

121849855200 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 4 + 98 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121849855207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12501529 + ... + 12511271.

Almost surely, 2^121849855200 is an apocalyptic number.

121849855200 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 121849855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223355485584).

121849855200 is an abundant number, since it is smaller than the sum of its proper divisors (324861115968).

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

121849855200 is a wasteful number, since it uses less digits than its factorization.

121849855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9968 (or 9946 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 121849855200 in words is "one hundred twenty-one billion, eight hundred forty-nine million, eight hundred fifty-five thousand, two hundred".