13034292452412 has 768 divisors, whose sum is σ = 42964992000000. Its totient is φ = 2970855014400.

The previous prime is 13034292452411. The next prime is 13034292452417. The reversal of 13034292452412 is 21425429243031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13034292452411) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10435781964 + ... + 10435783212.

It is an arithmetic number, because the mean of its divisors is an integer number (55944000000).

Almost surely, 2^{13034292452412} is an apocalyptic number.

13034292452412 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 13034292452412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21482496000000).

13034292452412 is an abundant number, since it is smaller than the sum of its proper divisors (29930699547588).

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

13034292452412 is a wasteful number, since it uses less digits than its factorization.

13034292452412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 13034292452412 in words is "thirteen trillion, thirty-four billion, two hundred ninety-two million, four hundred fifty-two thousand, four hundred twelve".