121120301120 has 168 divisors, whose sum is σ = 361315110744. Its totient is φ = 38332514304.

The previous prime is 121120301069. The next prime is 121120301131. The reversal of 121120301120 is 21103021121.

It can be written as a sum of positive squares in 4 ways, for example, as 1193840704 + 119926460416 = 34552^2 + 346304^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121120301095 and 121120301104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 93257 + ... + 500936.

It is an arithmetic number, because the mean of its divisors is an integer number (2150685183).

Almost surely, 2^121120301120 is an apocalyptic number.

121120301120 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 121120301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180657555372).

121120301120 is an abundant number, since it is smaller than the sum of its proper divisors (240194809624).

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

121120301120 is a wasteful number, since it uses less digits than its factorization.

121120301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594237 (or 594220 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 121120301120 its reverse (21103021121), we get a palindrome (142223322241).

The spelling of 121120301120 in words is "one hundred twenty-one billion, one hundred twenty million, three hundred one thousand, one hundred twenty".