5412126720000 has 2280 divisors, whose sum is σ = 24397750070848. Its totient is φ = 1038090240000.

The previous prime is 5412126719983. The next prime is 5412126720037. The reversal of 5412126720000 is 276212145.

It is a super-3 number, since 3×5412126720000³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 5412126720000.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 416317439994 + ... + 416317440006.

Almost surely, 2^{5412126720000} is an apocalyptic number.

5412126720000 is a gapful number since it is divisible by the number (50) 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 5412126720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12198875035424).

5412126720000 is an abundant number, since it is smaller than the sum of its proper divisors (18985623350848).

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

5412126720000 is an frugal number, since it uses more digits than its factorization.

5412126720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 5412126720000 in words is "five trillion, four hundred twelve billion, one hundred twenty-six million, seven hundred twenty thousand".