33121041600 has 168 divisors, whose sum is σ = 108759719488. Its totient is φ = 8824550400.

The previous prime is 33121041593. The next prime is 33121041641. The reversal of 33121041600 is 614012133.

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 23 ways as a sum of consecutive naturals, for example, 7346547 + ... + 7351053.

Almost surely, 2^33121041600 is an apocalyptic number.

33121041600 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 33121041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54379859744).

33121041600 is an abundant number, since it is smaller than the sum of its proper divisors (75638677888).

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

33121041600 is a wasteful number, since it uses less digits than its factorization.

33121041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6063 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 33121041600 its reverse (614012133), we get a palindrome (33735053733).

The spelling of 33121041600 in words is "thirty-three billion, one hundred twenty-one million, forty-one thousand, six hundred".