121220021120 has 128 divisors (see below), whose sum is σ = 316294109280. Its totient is φ = 44058009600.

The previous prime is 121220021107. The next prime is 121220021173. The reversal of 121220021120 is 21120022121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 121220021095 and 121220021104.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 22391534 + ... + 22396946.

Almost surely, 2^121220021120 is an apocalyptic number.

121220021120 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 121220021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158147054640).

121220021120 is an abundant number, since it is smaller than the sum of its proper divisors (195074088160).

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

121220021120 is a wasteful number, since it uses less digits than its factorization.

121220021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8624 (or 8612 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121220021120 its reverse (21120022121), we get a palindrome (142340043241).

The spelling of 121220021120 in words is "one hundred twenty-one billion, two hundred twenty million, twenty-one thousand, one hundred twenty".