121716576540 has 288 divisors, whose sum is σ = 428946912576. Its totient is φ = 27666063360.

The previous prime is 121716576539. The next prime is 121716576547. The reversal of 121716576540 is 45675617121.

121716576540 is a `hidden beast` number, since 1 + 2 + 1 + 71 + 6 + 576 + 5 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121716576547) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2079475 + ... + 2137205.

It is an arithmetic number, because the mean of its divisors is an integer number (1489399002).

Almost surely, 2^121716576540 is an apocalyptic number.

121716576540 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 121716576540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214473456288).

121716576540 is an abundant number, since it is smaller than the sum of its proper divisors (307230336036).

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

121716576540 is a wasteful number, since it uses less digits than its factorization.

121716576540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57829 (or 57824 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 121716576540 in words is "one hundred twenty-one billion, seven hundred sixteen million, five hundred seventy-six thousand, five hundred forty".