121220113232000 has 256 divisors, whose sum is σ = 320026559580000. Its totient is φ = 45505010073600.

The previous prime is 121220113231937. The next prime is 121220113232063. The reversal of 121220113232000 is 232311022121.

It is an interprime number because it is at equal distance from previous prime (121220113231937) and next prime (121220113232063).

It can be written as a sum of positive squares in 16 ways, for example, as 1158654182464 + 120061459049536 = 1076408^2 + 10957256^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94289516 + ... + 95566484.

Almost surely, 2^{121220113232000} is an apocalyptic number.

121220113232000 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 121220113232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160013279790000).

121220113232000 is an abundant number, since it is smaller than the sum of its proper divisors (198806446348000).

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

121220113232000 is a wasteful number, since it uses less digits than its factorization.

121220113232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277364 (or 1277342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 121220113232000 its reverse (232311022121), we get a palindrome (121452424254121).

The spelling of 121220113232000 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred thirteen million, two hundred thirty-two thousand".