121285987200 has 768 divisors, whose sum is σ = 523728384000. Its totient is φ = 26824089600.

The previous prime is 121285987183. The next prime is 121285987217. The reversal of 121285987200 is 2789582121.

121285987200 is a `hidden beast` number, since 12 + 1 + 28 + 598 + 7 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121285987183) and next prime (121285987217).

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 95 ways as a sum of consecutive naturals, for example, 18745566 + ... + 18752034.

It is an arithmetic number, because the mean of its divisors is an integer number (681938000).

Almost surely, 2^121285987200 is an apocalyptic number.

121285987200 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 121285987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261864192000).

121285987200 is an abundant number, since it is smaller than the sum of its proper divisors (402442396800).

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

121285987200 is a wasteful number, since it uses less digits than its factorization.

121285987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540 (or 6517 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 121285987200 in words is "one hundred twenty-one billion, two hundred eighty-five million, nine hundred eighty-seven thousand, two hundred".