1005111211104 has 2268 divisors, whose sum is σ = 4203305676108. Its totient is φ = 235381386240.

The previous prime is 1005111211103. The next prime is 1005111211123. The reversal of 1005111211104 is 4011121115001.

It is a tau number, because it is divible by the number of its divisors (2268).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005111211103) by changing a digit.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 23374679307 + ... + 23374679349.

It is an arithmetic number, because the mean of its divisors is an integer number (1853309381).

Almost surely, 2^{1005111211104} is an apocalyptic number.

1005111211104 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 1005111211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101652838054).

1005111211104 is an abundant number, since it is smaller than the sum of its proper divisors (3198194465004).

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

1005111211104 is a wasteful number, since it uses less digits than its factorization.

1005111211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

Adding to 1005111211104 its reverse (4011121115001), we get a palindrome (5016232326105).

The spelling of 1005111211104 in words is "one trillion, five billion, one hundred eleven million, two hundred eleven thousand, one hundred four".