33121220716320 has 768 divisors, whose sum is σ = 124535956930560. Its totient is φ = 7305250406400.

The previous prime is 33121220716291. The next prime is 33121220716417. The reversal of 33121220716320 is 2361702212133.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2735250426 + ... + 2735262534.

It is an arithmetic number, because the mean of its divisors is an integer number (162156193920).

Almost surely, 2^{33121220716320} is an apocalyptic number.

33121220716320 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 33121220716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62267978465280).

33121220716320 is an abundant number, since it is smaller than the sum of its proper divisors (91414736214240).

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

33121220716320 is a wasteful number, since it uses less digits than its factorization.

33121220716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13169 (or 13161 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

Adding to 33121220716320 its reverse (2361702212133), we get a palindrome (35482922928453).

The spelling of 33121220716320 in words is "thirty-three trillion, one hundred twenty-one billion, two hundred twenty million, seven hundred sixteen thousand, three hundred twenty".