121112303201120 has 384 divisors, whose sum is σ = 371475930470400. Its totient is φ = 36206198784000.

The previous prime is 121112303201063. The next prime is 121112303201137. The reversal of 121112303201120 is 21102303211121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121112303201092 and 121112303201101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52826816 + ... + 55071744.

It is an arithmetic number, because the mean of its divisors is an integer number (967385235600).

Almost surely, 2^{121112303201120} is an apocalyptic number.

121112303201120 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 121112303201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185737965235200).

121112303201120 is an abundant number, since it is smaller than the sum of its proper divisors (250363627269280).

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

121112303201120 is a wasteful number, since it uses less digits than its factorization.

121112303201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245142 (or 2245134 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 121112303201120 its reverse (21102303211121), we get a palindrome (142214606412241).

The spelling of 121112303201120 in words is "one hundred twenty-one trillion, one hundred twelve billion, three hundred three million, two hundred one thousand, one hundred twenty".