121587780384 has 432 divisors, whose sum is σ = 413165660544. Its totient is φ = 33220730880.

The previous prime is 121587780337. The next prime is 121587780401. The reversal of 121587780384 is 483087785121.

121587780384 is a `hidden beast` number, since 1 + 21 + 587 + 7 + 8 + 0 + 38 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 121587780384.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187925149 + ... + 187925795.

It is an arithmetic number, because the mean of its divisors is an integer number (956401992).

Almost surely, 2^121587780384 is an apocalyptic number.

121587780384 is a gapful number since it is divisible by the number (14) 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 121587780384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206582830272).

121587780384 is an abundant number, since it is smaller than the sum of its proper divisors (291577880160).

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

121587780384 is a wasteful number, since it uses less digits than its factorization.

121587780384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 121587780384 in words is "one hundred twenty-one billion, five hundred eighty-seven million, seven hundred eighty thousand, three hundred eighty-four".