3223101003120 has 240 divisors, whose sum is σ = 10948898136384. Its totient is φ = 849623040000.

The previous prime is 3223101003113. The next prime is 3223101003127. The reversal of 3223101003120 is 213001013223.

3223101003120 is a `hidden beast` number, since 32 + 2 + 310 + 10 + 0 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3223101003113) and next prime (3223101003127).

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

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 = 3223101003093 and 3223101003102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223101003127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45851200 + ... + 45921440.

Almost surely, 2^{3223101003120} is an apocalyptic number.

3223101003120 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 3223101003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474449068192).

3223101003120 is an abundant number, since it is smaller than the sum of its proper divisors (7725797133264).

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

3223101003120 is a wasteful number, since it uses less digits than its factorization.

3223101003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70992 (or 70983 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3223101003120 its reverse (213001013223), we get a palindrome (3436102016343).

The spelling of 3223101003120 in words is "three trillion, two hundred twenty-three billion, one hundred one million, three thousand, one hundred twenty".