121331011120 has 40 divisors (see below), whose sum is σ = 307739566800. Its totient is φ = 44120367360.

The previous prime is 121331011097. The next prime is 121331011121. The reversal of 121331011120 is 21110133121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121331011094 and 121331011103.

It is not an unprimeable number, because it can be changed into a prime (121331011121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68937195 + ... + 68938954.

It is an arithmetic number, because the mean of its divisors is an integer number (7693489170).

Almost surely, 2^121331011120 is an apocalyptic number.

121331011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121331011120 is an abundant number, since it is smaller than the sum of its proper divisors (186408555680).

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

121331011120 is a wasteful number, since it uses less digits than its factorization.

121331011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137876173 (or 137876167 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 121331011120 its reverse (21110133121), we get a palindrome (142441144241).

The spelling of 121331011120 in words is "one hundred twenty-one billion, three hundred thirty-one million, eleven thousand, one hundred twenty".