121123120032 has 72 divisors (see below), whose sum is σ = 347663062656. Its totient is φ = 39997032576.

The previous prime is 121123120003. The next prime is 121123120039. The reversal of 121123120032 is 230021321121.

121123120032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121123119987 and 121123120014.

It is not an unprimeable number, because it can be changed into a prime (121123120039) 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 11 ways as a sum of consecutive naturals, for example, 1934448 + ... + 1996079.

It is an arithmetic number, because the mean of its divisors is an integer number (4828653648).

Almost surely, 2^121123120032 is an apocalyptic number.

121123120032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121123120032 is an abundant number, since it is smaller than the sum of its proper divisors (226539942624).

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

121123120032 is a wasteful number, since it uses less digits than its factorization.

121123120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930650 (or 3930639 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121123120032 its reverse (230021321121), we get a palindrome (351144441153).

The spelling of 121123120032 in words is "one hundred twenty-one billion, one hundred twenty-three million, one hundred twenty thousand, thirty-two".