16124256421200 has 720 divisors, whose sum is σ = 59948937784320. Its totient is φ = 4001346708480.

The previous prime is 16124256421183. The next prime is 16124256421201. The reversal of 16124256421200 is 212465242161.

16124256421200 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 4 + 2 + 5 + 642 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16124256421201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1681882807 + ... + 1681892393.

Almost surely, 2^{16124256421200} is an apocalyptic number.

16124256421200 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 16124256421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29974468892160).

16124256421200 is an abundant number, since it is smaller than the sum of its proper divisors (43824681363120).

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

16124256421200 is a wasteful number, since it uses less digits than its factorization.

16124256421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10064 (or 10050 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 16124256421200 in words is "sixteen trillion, one hundred twenty-four billion, two hundred fifty-six million, four hundred twenty-one thousand, two hundred".