3011142233142 has 96 divisors (see below), whose sum is σ = 6793162178400. Its totient is φ = 962782765056.

The previous prime is 3011142233119. The next prime is 3011142233149. The reversal of 3011142233142 is 2413322411103.

3011142233142 is a `hidden beast` number, since 301 + 1 + 1 + 4 + 22 + 331 + 4 + 2 = 666.

It is a super-2 number, since 2×3011142233142² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3011142233149) 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, 290393334 + ... + 290403702.

It is an arithmetic number, because the mean of its divisors is an integer number (70762106025).

Almost surely, 2^{3011142233142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3011142233142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396581089200).

3011142233142 is an abundant number, since it is smaller than the sum of its proper divisors (3782019945258).

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

3011142233142 is a wasteful number, since it uses less digits than its factorization.

3011142233142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13982 (or 13979 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3011142233142 its reverse (2413322411103), we get a palindrome (5424464644245).

The spelling of 3011142233142 in words is "three trillion, eleven billion, one hundred forty-two million, two hundred thirty-three thousand, one hundred forty-two".