33220120320 has 216 divisors, whose sum is σ = 116058205536. Its totient is φ = 8772378624.

The previous prime is 33220120303. The next prime is 33220120321. The reversal of 33220120320 is 2302102233.

It is a happy number.

33220120320 is a `hidden beast` number, since 3 + 3 + 220 + 120 + 320 = 666.

It is a super-2 number, since 2×33220120320² (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 = 33220120293 and 33220120302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33220120321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172562 + ... + 1200558.

Almost surely, 2^33220120320 is an apocalyptic number.

33220120320 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 33220120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58029102768).

33220120320 is an abundant number, since it is smaller than the sum of its proper divisors (82838085216).

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

33220120320 is a wasteful number, since it uses less digits than its factorization.

33220120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28127 (or 28110 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33220120320 its reverse (2302102233), we get a palindrome (35522222553).

The spelling of 33220120320 in words is "thirty-three billion, two hundred twenty million, one hundred twenty thousand, three hundred twenty".