121221021022020 has 384 divisors, whose sum is σ = 392785318464000. Its totient is φ = 31012183480320.

The previous prime is 121221021022007. The next prime is 121221021022027. The reversal of 121221021022020 is 20220120122121.

It is a happy number.

121221021022020 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 210 + 210 + 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 = 121221021021984 and 121221021022002.

It is not an unprimeable number, because it can be changed into a prime (121221021022027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1004181426 + ... + 1004302134.

It is an arithmetic number, because the mean of its divisors is an integer number (1022878433500).

Almost surely, 2^{121221021022020} is an apocalyptic number.

121221021022020 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 121221021022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196392659232000).

121221021022020 is an abundant number, since it is smaller than the sum of its proper divisors (271564297441980).

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

121221021022020 is a wasteful number, since it uses less digits than its factorization.

121221021022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121540 (or 121532 counting only the distinct ones).

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

Adding to 121221021022020 its reverse (20220120122121), we get a palindrome (141441141144141).

The spelling of 121221021022020 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty-one million, twenty-two thousand, twenty".