121027766112 has 240 divisors, whose sum is σ = 391517645904. Its totient is φ = 36674035200.

The previous prime is 121027766077. The next prime is 121027766143. The reversal of 121027766112 is 211667720121.

121027766112 is a `hidden beast` number, since 1 + 2 + 10 + 27 + 7 + 6 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3432412 + ... + 3467492.

Almost surely, 2^121027766112 is an apocalyptic number.

121027766112 is a gapful number since it is divisible by the number (12) 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 121027766112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195758822952).

121027766112 is an abundant number, since it is smaller than the sum of its proper divisors (270489879792).

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

121027766112 is an equidigital number, since it uses as much as digits as its factorization.

121027766112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35136 (or 35097 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 121027766112 in words is "one hundred twenty-one billion, twenty-seven million, seven hundred sixty-six thousand, one hundred twelve".