121444307712 has 432 divisors, whose sum is σ = 432124492800. Its totient is φ = 31942729728.

The previous prime is 121444307701. The next prime is 121444307713. The reversal of 121444307712 is 217703444121.

121444307712 is a `hidden beast` number, since 1 + 2 + 144 + 430 + 77 + 12 = 666.

121444307712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (121444307713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125588253 + ... + 125589219.

Almost surely, 2^121444307712 is an apocalyptic number.

121444307712 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 121444307712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216062246400).

121444307712 is an abundant number, since it is smaller than the sum of its proper divisors (310680185088).

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

121444307712 is a wasteful number, since it uses less digits than its factorization.

121444307712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 121444307712 in words is "one hundred twenty-one billion, four hundred forty-four million, three hundred seven thousand, seven hundred twelve".