320202121012020 has 288 divisors, whose sum is σ = 1142161974253440. Its totient is φ = 74182572472320.

The previous prime is 320202121011953. The next prime is 320202121012049. The reversal of 320202121012020 is 20210121202023.

320202121012020 is a `hidden beast` number, since 320 + 2 + 0 + 212 + 10 + 120 + 2 + 0 = 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 = 320202121011984 and 320202121012002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101645046 + ... + 104747885.

It is an arithmetic number, because the mean of its divisors is an integer number (3965840188380).

Almost surely, 2^{320202121012020} is an apocalyptic number.

320202121012020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320202121012020 is an abundant number, since it is smaller than the sum of its proper divisors (821959853241420).

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

320202121012020 is a wasteful number, since it uses less digits than its factorization.

320202121012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206392992 (or 206392971 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 320202121012020 its reverse (20210121202023), we get a palindrome (340412242214043).

The spelling of 320202121012020 in words is "three hundred twenty trillion, two hundred two billion, one hundred twenty-one million, twelve thousand, twenty".