121220121201120 has 768 divisors, whose sum is σ = 434698742016000. Its totient is φ = 31540948992000.

The previous prime is 121220121201097. The next prime is 121220121201131. The reversal of 121220121201120 is 21102121022121.

121220121201120 is a `hidden beast` number, since 1 + 2 + 1 + 220 + 121 + 201 + 120 = 666.

It is a super-3 number, since 3×121220121201120³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121220121201093 and 121220121201102.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 40152406971 + ... + 40152409989.

It is an arithmetic number, because the mean of its divisors is an integer number (566013987000).

Almost surely, 2^{121220121201120} is an apocalyptic number.

121220121201120 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 121220121201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217349371008000).

121220121201120 is an abundant number, since it is smaller than the sum of its proper divisors (313478620814880).

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

121220121201120 is a wasteful number, since it uses less digits than its factorization.

121220121201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121220121201120 its reverse (21102121022121), we get a palindrome (142322242223241).

The spelling of 121220121201120 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty".