33122040 has 192 divisors, whose sum is σ = 119180160. Its totient is φ = 7338240.

The previous prime is 33122039. The next prime is 33122077. The reversal of 33122040 is 4022133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252775 + ... + 252905.

It is an arithmetic number, because the mean of its divisors is an integer number (620730).

Almost surely, 2^33122040 is an apocalyptic number.

33122040 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 33122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59590080).

33122040 is an abundant number, since it is smaller than the sum of its proper divisors (86058120).

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

33122040 is a wasteful number, since it uses less digits than its factorization.

33122040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 33122040 is about 5755.1750624981. The cubic root of 33122040 is about 321.1483480810.

Adding to 33122040 its reverse (4022133), we get a palindrome (37144173).

The spelling of 33122040 in words is "thirty-three million, one hundred twenty-two thousand, forty".