105012478771200 has 9216 divisors, whose sum is σ = 572477119119360. Its totient is φ = 18345885696000.

The previous prime is 105012478771199. The next prime is 105012478771237. The reversal of 105012478771200 is 2177874210501.

It is a happy number.

105012478771200 is a `hidden beast` number, since 1 + 0 + 50 + 1 + 2 + 478 + 7 + 7 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is a super-2 number, since 2×105012478771200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3387499315185 + ... + 3387499315215.

It is an arithmetic number, because the mean of its divisors is an integer number (62117742960).

Almost surely, 2^{105012478771200} is an apocalyptic number.

105012478771200 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 105012478771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286238559559680).

105012478771200 is an abundant number, since it is smaller than the sum of its proper divisors (467464640348160).

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

105012478771200 is a wasteful number, since it uses less digits than its factorization.

105012478771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 105012478771200 in words is "one hundred five trillion, twelve billion, four hundred seventy-eight million, seven hundred seventy-one thousand, two hundred".