121586020416 has 336 divisors, whose sum is σ = 426090502656. Its totient is φ = 32356564992.

The previous prime is 121586020357. The next prime is 121586020417. The reversal of 121586020416 is 614020685121.

It is a happy number.

121586020416 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 8 + 602 + 0 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (121586020417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6639625 + ... + 6657911.

It is an arithmetic number, because the mean of its divisors is an integer number (1268126496).

Almost surely, 2^121586020416 is an apocalyptic number.

121586020416 is a gapful number since it is divisible by the number (16) 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 121586020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213045251328).

121586020416 is an abundant number, since it is smaller than the sum of its proper divisors (304504482240).

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

121586020416 is a wasteful number, since it uses less digits than its factorization.

121586020416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18426 (or 18413 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 121586020416 in words is "one hundred twenty-one billion, five hundred eighty-six million, twenty thousand, four hundred sixteen".