1012132340340 has 192 divisors, whose sum is σ = 3135334487040. Its totient is φ = 241897743360.

The previous prime is 1012132340299. The next prime is 1012132340491. The reversal of 1012132340340 is 430432312101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1012132340340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193632807 + ... + 193638033.

It is an arithmetic number, because the mean of its divisors is an integer number (16329867120).

Almost surely, 2^{1012132340340} is an apocalyptic number.

1012132340340 is a gapful number since it is divisible by the number (10) 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 1012132340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567667243520).

1012132340340 is an abundant number, since it is smaller than the sum of its proper divisors (2123202146700).

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

1012132340340 is a wasteful number, since it uses less digits than its factorization.

1012132340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9342 (or 9340 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1012132340340 its reverse (430432312101), we get a palindrome (1442564652441).

The spelling of 1012132340340 in words is "one trillion, twelve billion, one hundred thirty-two million, three hundred forty thousand, three hundred forty".