121220111220992 has 288 divisors, whose sum is σ = 293530508328960. Its totient is φ = 48836626882560.

The previous prime is 121220111220983. The next prime is 121220111221007. The reversal of 121220111220992 is 299022111022121.

It is a super-2 number, since 2×121220111220992² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16805779178 + ... + 16805786390.

It is an arithmetic number, because the mean of its divisors is an integer number (1019203153920).

Almost surely, 2^{121220111220992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220111220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146765254164480).

121220111220992 is an abundant number, since it is smaller than the sum of its proper divisors (172310397107968).

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

121220111220992 is an equidigital number, since it uses as much as digits as its factorization.

121220111220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14229 (or 14215 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The spelling of 121220111220992 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred eleven million, two hundred twenty thousand, nine hundred ninety-two".