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3200120220000 = 253541119255193

3200120220000 has 480 divisors, whose sum is σ = 12054057966720. Its totient is φ = 734952960000.

The previous prime is 3200120219971. The next prime is 3200120220001. The reversal of 3200120220000 is 220210023.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200120220001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12412404 + ... + 12667596.

It is an arithmetic number, because the mean of its divisors is an integer number (25112620764).

Almost surely, 23200120220000 is an apocalyptic number.

3200120220000 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 3200120220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027028983360).

3200120220000 is an abundant number, since it is smaller than the sum of its proper divisors (8853937746720).

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

3200120220000 is a wasteful number, since it uses less digits than its factorization.

3200120220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255256 (or 255233 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 3200120220000 its reverse (220210023), we get a palindrome (3200340430023).

The spelling of 3200120220000 in words is "three trillion, two hundred billion, one hundred twenty million, two hundred twenty thousand".