33220120140240 has 240 divisors, whose sum is σ = 113251544812224. Its totient is φ = 8049375150080.

The previous prime is 33220120140209. The next prime is 33220120140293. The reversal of 33220120140240 is 4204102102233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33220120140240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 33220120140240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58581904 + ... + 59146256.

Almost surely, 2^{33220120140240} is an apocalyptic number.

33220120140240 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 33220120140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56625772406112).

33220120140240 is an abundant number, since it is smaller than the sum of its proper divisors (80031424671984).

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

33220120140240 is a wasteful number, since it uses less digits than its factorization.

33220120140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566418 (or 566401 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 33220120140240 its reverse (4204102102233), we get a palindrome (37424222242473).

The spelling of 33220120140240 in words is "thirty-three trillion, two hundred twenty billion, one hundred twenty million, one hundred forty thousand, two hundred forty".