33121000 has 64 divisors (see below), whose sum is σ = 84576960. Its totient is φ = 12040000.

The previous prime is 33120991. The next prime is 33121001. The reversal of 33121000 is 12133.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (33121001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9495 + ... + 12505.

It is an arithmetic number, because the mean of its divisors is an integer number (1321515).

Almost surely, 2^33121000 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 33121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42288480).

33121000 is an abundant number, since it is smaller than the sum of its proper divisors (51455960).

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

33121000 is a wasteful number, since it uses less digits than its factorization.

33121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 33121000 is about 5755.0847083253. The cubic root of 33121000 is about 321.1449867967.

Adding to 33121000 its reverse (12133), we get a palindrome (33133133).

The spelling of 33121000 in words is "thirty-three million, one hundred twenty-one thousand".