121958908416 has 480 divisors, whose sum is σ = 381690236928. Its totient is φ = 38832721920.

The previous prime is 121958908411. The next prime is 121958908417. The reversal of 121958908416 is 614809859121.

121958908416 is a `hidden beast` number, since 1 + 2 + 19 + 589 + 0 + 8 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (121958908411) 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, 397260135 + ... + 397260441.

Almost surely, 2^121958908416 is an apocalyptic number.

121958908416 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 121958908416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190845118464).

121958908416 is an abundant number, since it is smaller than the sum of its proper divisors (259731328512).

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

121958908416 is an equidigital number, since it uses as much as digits as its factorization.

121958908416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 121958908416 in words is "one hundred twenty-one billion, nine hundred fifty-eight million, nine hundred eight thousand, four hundred sixteen".