121020221122020 has 288 divisors, whose sum is σ = 401837336933760. Its totient is φ = 29237887764480.

The previous prime is 121020221121973. The next prime is 121020221122039. The reversal of 121020221122020 is 20221122020121.

It is a happy number.

121020221122020 is a `hidden beast` number, since 1 + 2 + 10 + 202 + 211 + 220 + 20 = 666.

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 = 121020221121984 and 121020221122002.

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 95 ways as a sum of consecutive naturals, for example, 2556435511 + ... + 2556482849.

It is an arithmetic number, because the mean of its divisors is an integer number (1395268531020).

Almost surely, 2^{121020221122020} is an apocalyptic number.

121020221122020 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 121020221122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200918668466880).

121020221122020 is an abundant number, since it is smaller than the sum of its proper divisors (280817115811740).

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

121020221122020 is a wasteful number, since it uses less digits than its factorization.

121020221122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51755 (or 51750 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121020221122020 its reverse (20221122020121), we get a palindrome (141241343142141).

The spelling of 121020221122020 in words is "one hundred twenty-one trillion, twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty".