33121121742400 has 168 divisors, whose sum is σ = 83160332576640. Its totient is φ = 12980887296000.

The previous prime is 33121121742367. The next prime is 33121121742427. The reversal of 33121121742400 is 424712112133.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15558270 + ... + 17558530.

Almost surely, 2^{33121121742400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33121121742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41580166288320).

33121121742400 is an abundant number, since it is smaller than the sum of its proper divisors (50039210834240).

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

33121121742400 is a wasteful number, since it uses less digits than its factorization.

33121121742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000493 (or 2000478 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

Adding to 33121121742400 its reverse (424712112133), we get a palindrome (33545833854533).

The spelling of 33121121742400 in words is "thirty-three trillion, one hundred twenty-one billion, one hundred twenty-one million, seven hundred forty-two thousand, four hundred".