33213210120 has 48 divisors (see below), whose sum is σ = 107942934060. Its totient is φ = 8856855936.

The previous prime is 33213210109. The next prime is 33213210139. The reversal of 33213210120 is 2101231233.

33213210120 is a `hidden beast` number, since 3 + 321 + 321 + 0 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32005925604 + 1207284516 = 178902^2 + 34746^2 .

It is a super-2 number, since 2×33213210120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33213210093 and 33213210102.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 46129099 + ... + 46129818.

Almost surely, 2^33213210120 is an apocalyptic number.

33213210120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33213210120 is an abundant number, since it is smaller than the sum of its proper divisors (74729723940).

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

33213210120 is a wasteful number, since it uses less digits than its factorization.

33213210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92258934 (or 92258927 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 33213210120 its reverse (2101231233), we get a palindrome (35314441353).

The spelling of 33213210120 in words is "thirty-three billion, two hundred thirteen million, two hundred ten thousand, one hundred twenty".