202001220120 has 320 divisors, whose sum is σ = 715564523520. Its totient is φ = 45610021632.

The previous prime is 202001220119. The next prime is 202001220137. The reversal of 202001220120 is 21022100202.

202001220120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202001220096 and 202001220105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23909737 + ... + 23918183.

It is an arithmetic number, because the mean of its divisors is an integer number (2236139136).

Almost surely, 2^202001220120 is an apocalyptic number.

202001220120 is a gapful number since it is divisible by the number (20) 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 202001220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357782261760).

202001220120 is an abundant number, since it is smaller than the sum of its proper divisors (513563303400).

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

202001220120 is an equidigital number, since it uses as much as digits as its factorization.

202001220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8572 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202001220120 its reverse (21022100202), we get a palindrome (223023320322).

The spelling of 202001220120 in words is "two hundred two billion, one million, two hundred twenty thousand, one hundred twenty".