121990076208 has 1080 divisors, whose sum is σ = 487600822800. Its totient is φ = 28165294080.

The previous prime is 121990076189. The next prime is 121990076209. The reversal of 121990076208 is 802670099121.

121990076208 is a `hidden beast` number, since 1 + 2 + 19 + 9 + 0 + 0 + 7 + 620 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (121990076209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 321873363 + ... + 321873741.

Almost surely, 2^121990076208 is an apocalyptic number.

121990076208 is a gapful number since it is divisible by the number (18) 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 121990076208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243800411400).

121990076208 is an abundant number, since it is smaller than the sum of its proper divisors (365610746592).

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

121990076208 is a wasteful number, since it uses less digits than its factorization.

121990076208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 121990076208 in words is "one hundred twenty-one billion, nine hundred ninety million, seventy-six thousand, two hundred eight".