33221211340020 has 288 divisors, whose sum is σ = 103109907984384. Its totient is φ = 7985531473920.

The previous prime is 33221211340013. The next prime is 33221211340027. The reversal of 33221211340020 is 2004311212233.

It is an interprime number because it is at equal distance from previous prime (33221211340013) and next prime (33221211340027).

It is a super-2 number, since 2×33221211340020² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33221211340027) by changing a digit.

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, 1726933842 + ... + 1726953078.

Almost surely, 2^{33221211340020} is an apocalyptic number.

33221211340020 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 33221211340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51554953992192).

33221211340020 is an abundant number, since it is smaller than the sum of its proper divisors (69888696644364).

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

33221211340020 is a wasteful number, since it uses less digits than its factorization.

33221211340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21271 (or 21258 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 33221211340020 its reverse (2004311212233), we get a palindrome (35225522552253).

The spelling of 33221211340020 in words is "thirty-three trillion, two hundred twenty-one billion, two hundred eleven million, three hundred forty thousand, twenty".