36028122451200 has 756 divisors, whose sum is σ = 145856592476448. Its totient is φ = 8734077849600.

The previous prime is 36028122451163. The next prime is 36028122451201. The reversal of 36028122451200 is 215422182063.

36028122451200 is a `hidden beast` number, since 3 + 60 + 2 + 8 + 122 + 451 + 20 + 0 = 666.

It is a super-3 number, since 3×36028122451200³ (a number of 42 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36028122451201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 50970597 + ... + 51672603.

Almost surely, 2^{36028122451200} is an apocalyptic number.

36028122451200 is a gapful number since it is divisible by the number (30) 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 36028122451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72928296238224).

36028122451200 is an abundant number, since it is smaller than the sum of its proper divisors (109828470025248).

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

36028122451200 is an equidigital number, since it uses as much as digits as its factorization.

36028122451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702062 (or 702028 counting only the distinct ones).

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

The spelling of 36028122451200 in words is "thirty-six trillion, twenty-eight billion, one hundred twenty-two million, four hundred fifty-one thousand, two hundred".