121120110000 has 250 divisors, whose sum is σ = 438058629492. Its totient is φ = 32298480000.

The previous prime is 121120109987. The next prime is 121120110037. The reversal of 121120110000 is 11021121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (250).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 735235 + ... + 884765.

Almost surely, 2^121120110000 is an apocalyptic number.

121120110000 is a gapful number since it is divisible by the number (10) 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 121120110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219029314746).

121120110000 is an abundant number, since it is smaller than the sum of its proper divisors (316938519492).

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

121120110000 is an equidigital number, since it uses as much as digits as its factorization.

121120110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149571 (or 149541 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121120110000 its reverse (11021121), we get a palindrome (121131131121).

The spelling of 121120110000 in words is "one hundred twenty-one billion, one hundred twenty million, one hundred ten thousand".