121585545000 has 240 divisors, whose sum is σ = 425679754500. Its totient is φ = 31304448000.

The previous prime is 121585544987. The next prime is 121585545001. The reversal of 121585545000 is 545585121.

121585545000 is a `hidden beast` number, since 1 + 2 + 1 + 58 + 554 + 50 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 811224324 + 120774320676 = 28482^2 + 347526^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121585545001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1258416 + ... + 1351584.

Almost surely, 2^121585545000 is an apocalyptic number.

121585545000 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 121585545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212839877250).

121585545000 is an abundant number, since it is smaller than the sum of its proper divisors (304094209500).

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

121585545000 is a wasteful number, since it uses less digits than its factorization.

121585545000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93230 (or 93208 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 121585545000 in words is "one hundred twenty-one billion, five hundred eighty-five million, five hundred forty-five thousand".