33140022120 has 48 divisors (see below), whose sum is σ = 107705073060. Its totient is φ = 8837339136.

The previous prime is 33140022077. The next prime is 33140022133. The reversal of 33140022120 is 2122004133.

It can be written as a sum of positive squares in 2 ways, for example, as 32449699044 + 690323076 = 180138^2 + 26274^2 .

It is a super-2 number, since 2×33140022120² (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 = 33140022093 and 33140022102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46027449 + ... + 46028168.

Almost surely, 2^33140022120 is an apocalyptic number.

33140022120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33140022120 is an abundant number, since it is smaller than the sum of its proper divisors (74565050940).

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

33140022120 is a wasteful number, since it uses less digits than its factorization.

33140022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92055634 (or 92055627 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 33140022120 its reverse (2122004133), we get a palindrome (35262026253).

The spelling of 33140022120 in words is "thirty-three billion, one hundred forty million, twenty-two thousand, one hundred twenty".