3223201101120 has 1792 divisors, whose sum is σ = 15354054696960. Its totient is φ = 614714572800.

The previous prime is 3223201101103. The next prime is 3223201101137. The reversal of 3223201101120 is 211011023223.

3223201101120 is a `hidden beast` number, since 322 + 320 + 1 + 1 + 0 + 1 + 1 + 20 = 666.

3223201101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3223201101103) and next prime (3223201101137).

It is a super-2 number, since 2×3223201101120² (a number of 26 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 = 3223201101093 and 3223201101102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1669186555 + ... + 1669188485.

It is an arithmetic number, because the mean of its divisors is an integer number (8568110880).

Almost surely, 2^{3223201101120} is an apocalyptic number.

3223201101120 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 3223201101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7677027348480).

3223201101120 is an abundant number, since it is smaller than the sum of its proper divisors (12130853595840).

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

3223201101120 is a wasteful number, since it uses less digits than its factorization.

3223201101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 3223201101120 its reverse (211011023223), we get a palindrome (3434212124343).

The spelling of 3223201101120 in words is "three trillion, two hundred twenty-three billion, two hundred one million, one hundred one thousand, one hundred twenty".