121001587200 has 720 divisors, whose sum is σ = 477440483520. Its totient is φ = 29076848640.

The previous prime is 121001587199. The next prime is 121001587207. The reversal of 121001587200 is 2785100121.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (121001587207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64395861 + ... + 64397739.

Almost surely, 2^121001587200 is an apocalyptic number.

121001587200 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 121001587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238720241760).

121001587200 is an abundant number, since it is smaller than the sum of its proper divisors (356438896320).

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

121001587200 is a wasteful number, since it uses less digits than its factorization.

121001587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 121001587200 its reverse (2785100121), we get a palindrome (123786687321).

The spelling of 121001587200 in words is "one hundred twenty-one billion, one million, five hundred eighty-seven thousand, two hundred".