3013012120032 has 144 divisors (see below), whose sum is σ = 8790111740592. Its totient is φ = 978639759360.

The previous prime is 3013012119977. The next prime is 3013012120121. The reversal of 3013012120032 is 2300212103103.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 3013012119987 and 3013012120014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1078348 + ... + 2681204.

It is an arithmetic number, because the mean of its divisors is an integer number (61042442643).

Almost surely, 2^{3013012120032} is an apocalyptic number.

3013012120032 is a gapful number since it is divisible by the number (32) 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 3013012120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395055870296).

3013012120032 is an abundant number, since it is smaller than the sum of its proper divisors (5777099620560).

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

3013012120032 is a wasteful number, since it uses less digits than its factorization.

3013012120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603041 (or 1603030 counting only the distinct ones).

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

Adding to 3013012120032 its reverse (2300212103103), we get a palindrome (5313224223135).

The spelling of 3013012120032 in words is "three trillion, thirteen billion, twelve million, one hundred twenty thousand, thirty-two".