33229749120 has 128 divisors (see below), whose sum is σ = 106387827840. Its totient is φ = 8822114304.

The previous prime is 33229749103. The next prime is 33229749127. The reversal of 33229749120 is 2194792233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33229749120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33229749127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397719 + ... + 473961.

It is an arithmetic number, because the mean of its divisors is an integer number (831154905).

Almost surely, 2^33229749120 is an apocalyptic number.

33229749120 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 33229749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53193913920).

33229749120 is an abundant number, since it is smaller than the sum of its proper divisors (73158078720).

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

33229749120 is a wasteful number, since it uses less digits than its factorization.

33229749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76492 (or 76480 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 33229749120 in words is "thirty-three billion, two hundred twenty-nine million, seven hundred forty-nine thousand, one hundred twenty".