94121989200 has 960 divisors, whose sum is σ = 382604083200. Its totient is φ = 21836390400.

The previous prime is 94121989187. The next prime is 94121989211. The reversal of 94121989200 is 298912149.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130906441 + ... + 130907159.

It is an arithmetic number, because the mean of its divisors is an integer number (398545920).

Almost surely, 2^94121989200 is an apocalyptic number.

94121989200 is a gapful number since it is divisible by the number (90) 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 94121989200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191302041600).

94121989200 is an abundant number, since it is smaller than the sum of its proper divisors (288482094000).

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

94121989200 is a wasteful number, since it uses less digits than its factorization.

94121989200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 94121989200 in words is "ninety-four billion, one hundred twenty-one million, nine hundred eighty-nine thousand, two hundred".