33122100 has 72 divisors (see below), whose sum is σ = 104555808. Its totient is φ = 8028800.

The previous prime is 33122077. The next prime is 33122101. The reversal of 33122100 is 122133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33122101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1719 + ... + 8318.

It is an arithmetic number, because the mean of its divisors is an integer number (1452164).

Almost surely, 2^33122100 is an apocalyptic number.

33122100 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 33122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52277904).

33122100 is an abundant number, since it is smaller than the sum of its proper divisors (71433708).

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

33122100 is a wasteful number, since it uses less digits than its factorization.

33122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10065 (or 10058 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 33122100 is about 5755.1802751956. The cubic root of 33122100 is about 321.1485419991.

Adding to 33122100 its reverse (122133), we get a palindrome (33244233).

The spelling of 33122100 in words is "thirty-three million, one hundred twenty-two thousand, one hundred".