121221021221120 has 144 divisors (see below), whose sum is σ = 305844180962880. Its totient is φ = 45906368716800.

The previous prime is 121221021221117. The next prime is 121221021221123. The reversal of 121221021221120 is 21122120122121.

It is an interprime number because it is at equal distance from previous prime (121221021221117) and next prime (121221021221123).

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 = 121221021221092 and 121221021221101.

It is not an unprimeable number, because it can be changed into a prime (121221021221123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35606090 + ... + 38861750.

Almost surely, 2^{121221021221120} is an apocalyptic number.

121221021221120 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 121221021221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152922090481440).

121221021221120 is an abundant number, since it is smaller than the sum of its proper divisors (184623159741760).

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

121221021221120 is a wasteful number, since it uses less digits than its factorization.

121221021221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257232 (or 3257218 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 121221021221120 its reverse (21122120122121), we get a palindrome (142343141343241).

The spelling of 121221021221120 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty-one million, two hundred twenty-one thousand, one hundred twenty".