121014431311032 has 96 divisors (see below), whose sum is σ = 374570019532800. Its totient is φ = 34575409495872.

The previous prime is 121014431311009. The next prime is 121014431311171. The reversal of 121014431311032 is 230113134410121.

121014431311032 is a `hidden beast` number, since 1 + 2 + 101 + 443 + 1 + 3 + 110 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 121014431310987 and 121014431311005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216686569 + ... + 217244327.

It is an arithmetic number, because the mean of its divisors is an integer number (3901771036800).

Almost surely, 2^{121014431311032} is an apocalyptic number.

121014431311032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121014431311032 is an abundant number, since it is smaller than the sum of its proper divisors (253555588221768).

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

121014431311032 is a wasteful number, since it uses less digits than its factorization.

121014431311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988265 (or 988258 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 121014431311032 its reverse (230113134410121), we get a palindrome (351127565721153).

The spelling of 121014431311032 in words is "one hundred twenty-one trillion, fourteen billion, four hundred thirty-one million, three hundred eleven thousand, thirty-two".