33303420112020 has 144 divisors (see below), whose sum is σ = 98066750177088. Its totient is φ = 8439935616000.

The previous prime is 33303420111991. The next prime is 33303420112049. The reversal of 33303420112020 is 2021102430333.

It is an interprime number because it is at equal distance from previous prime (33303420111991) and next prime (33303420112049).

It is a super-2 number, since 2×33303420112020² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1182481 + ... + 8246520.

It is an arithmetic number, because the mean of its divisors is an integer number (681019098452).

Almost surely, 2^{33303420112020} is an apocalyptic number.

33303420112020 is a gapful number since it is divisible by the number (30) 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 33303420112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49033375088544).

33303420112020 is an abundant number, since it is smaller than the sum of its proper divisors (64763330065068).

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

33303420112020 is a wasteful number, since it uses less digits than its factorization.

33303420112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9429130 (or 9429091 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 33303420112020 its reverse (2021102430333), we get a palindrome (35324522542353).

The spelling of 33303420112020 in words is "thirty-three trillion, three hundred three billion, four hundred twenty million, one hundred twelve thousand, twenty".