121142484784992 has 96 divisors (see below), whose sum is σ = 347680649635200. Its totient is φ = 36628084613120.

The previous prime is 121142484784969. The next prime is 121142484785081. The reversal of 121142484784992 is 299487484241121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×121142484784992³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127274478 + ... + 128222765.

It is an arithmetic number, because the mean of its divisors is an integer number (3621673433700).

Almost surely, 2^{121142484784992} is an apocalyptic number.

121142484784992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121142484784992 is an abundant number, since it is smaller than the sum of its proper divisors (226538164850208).

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

121142484784992 is a wasteful number, since it uses less digits than its factorization.

121142484784992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255497716 (or 255497708 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 66.

The spelling of 121142484784992 in words is "one hundred twenty-one trillion, one hundred forty-two billion, four hundred eighty-four million, seven hundred eighty-four thousand, nine hundred ninety-two".