3011101213120 has 448 divisors, whose sum is σ = 9633546058752. Its totient is φ = 865751040000.

The previous prime is 3011101213097. The next prime is 3011101213147. The reversal of 3011101213120 is 213121011103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3011101213094 and 3011101213103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 781899195 + ... + 781903045.

It is an arithmetic number, because the mean of its divisors is an integer number (21503451024).

Almost surely, 2^{3011101213120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3011101213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816773029376).

3011101213120 is an abundant number, since it is smaller than the sum of its proper divisors (6622444845632).

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

3011101213120 is a wasteful number, since it uses less digits than its factorization.

3011101213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 3011101213120 its reverse (213121011103), we get a palindrome (3224222224223).

The spelling of 3011101213120 in words is "three trillion, eleven billion, one hundred one million, two hundred thirteen thousand, one hundred twenty".