33120101204040 has 128 divisors (see below), whose sum is σ = 102145949579520. Its totient is φ = 8585947238400.

The previous prime is 33120101204017. The next prime is 33120101204123. The reversal of 33120101204040 is 4040210102133.

It is a super-2 number, since 2×33120101204040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33120101203998 and 33120101204016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10595644 + ... + 13360683.

It is an arithmetic number, because the mean of its divisors is an integer number (798015231090).

Almost surely, 2^{33120101204040} is an apocalyptic number.

33120101204040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33120101204040 is an abundant number, since it is smaller than the sum of its proper divisors (69025848375480).

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

33120101204040 is a wasteful number, since it uses less digits than its factorization.

33120101204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23956663 (or 23956659 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 33120101204040 its reverse (4040210102133), we get a palindrome (37160311306173).

The spelling of 33120101204040 in words is "thirty-three trillion, one hundred twenty billion, one hundred one million, two hundred four thousand, forty".