1012180216320 has 2560 divisors, whose sum is σ = 4751695872000. Its totient is φ = 198428590080.

The previous prime is 1012180216303. The next prime is 1012180216367. The reversal of 1012180216320 is 236120812101.

1012180216320 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 8 + 0 + 21 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 5654637991 + ... + 5654638169.

It is an arithmetic number, because the mean of its divisors is an integer number (1856131200).

Almost surely, 2^{1012180216320} is an apocalyptic number.

1012180216320 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 1012180216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375847936000).

1012180216320 is an abundant number, since it is smaller than the sum of its proper divisors (3739515655680).

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

1012180216320 is a wasteful number, since it uses less digits than its factorization.

1012180216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1012180216320 in words is "one trillion, twelve billion, one hundred eighty million, two hundred sixteen thousand, three hundred twenty".