2132142131112 has 128 divisors (see below), whose sum is σ = 6120243916800. Its totient is φ = 606344133888.

The previous prime is 2132142131107. The next prime is 2132142131117. The reversal of 2132142131112 is 2111312412312.

It is an interprime number because it is at equal distance from previous prime (2132142131107) and next prime (2132142131117).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2132142131117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184005783 + ... + 184017369.

It is an arithmetic number, because the mean of its divisors is an integer number (47814405600).

Almost surely, 2^{2132142131112} 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 2132142131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060121958400).

2132142131112 is an abundant number, since it is smaller than the sum of its proper divisors (3988101785688).

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

2132142131112 is a wasteful number, since it uses less digits than its factorization.

2132142131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16615 (or 16611 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 2132142131112 its reverse (2111312412312), we get a palindrome (4243454543424).

The spelling of 2132142131112 in words is "two trillion, one hundred thirty-two billion, one hundred forty-two million, one hundred thirty-one thousand, one hundred twelve".