1012134332352 has 448 divisors, whose sum is σ = 3253875867648. Its totient is φ = 273452544000.

The previous prime is 1012134332281. The next prime is 1012134332353. The reversal of 1012134332352 is 2532334312101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012134332353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 669843277 + ... + 669844787.

It is an arithmetic number, because the mean of its divisors is an integer number (7263115776).

Almost surely, 2^{1012134332352} is an apocalyptic number.

1012134332352 is a gapful number since it is divisible by the number (12) 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 1012134332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626937933824).

1012134332352 is an abundant number, since it is smaller than the sum of its proper divisors (2241741535296).

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

1012134332352 is a wasteful number, since it uses less digits than its factorization.

1012134332352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 1012134332352 its reverse (2532334312101), we get a palindrome (3544468644453).

The spelling of 1012134332352 in words is "one trillion, twelve billion, one hundred thirty-four million, three hundred thirty-two thousand, three hundred fifty-two".