1012020011184 has 240 divisors, whose sum is σ = 3276314573280. Its totient is φ = 266812600320.

The previous prime is 1012020011183. The next prime is 1012020011213. The reversal of 1012020011184 is 4811100202101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1012020011184.

It is not an unprimeable number, because it can be changed into a prime (1012020011183) 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 47 ways as a sum of consecutive naturals, for example, 151928814 + ... + 151935474.

It is an arithmetic number, because the mean of its divisors is an integer number (13651310722).

Almost surely, 2^{1012020011184} is an apocalyptic number.

1012020011184 is a gapful number since it is divisible by the number (14) 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 1012020011184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638157286640).

1012020011184 is an abundant number, since it is smaller than the sum of its proper divisors (2264294562096).

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

1012020011184 is a wasteful number, since it uses less digits than its factorization.

1012020011184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11668 (or 11655 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 1012020011184 its reverse (4811100202101), we get a palindrome (5823120213285).

The spelling of 1012020011184 in words is "one trillion, twelve billion, twenty million, eleven thousand, one hundred eighty-four".