1000218011880 has 256 divisors, whose sum is σ = 3324612314880. Its totient is φ = 239640920064.

The previous prime is 1000218011851. The next prime is 1000218011893. The reversal of 1000218011880 is 881108120001.

It is a Cunningham number, because it is equal to 1000109²-1.

It is a super-2 number, since 2×1000218011880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3875427 + ... + 4125453.

It is an arithmetic number, because the mean of its divisors is an integer number (12986766855).

Almost surely, 2^{1000218011880} is an apocalyptic number.

1000218011880 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 1000218011880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662306157440).

1000218011880 is an abundant number, since it is smaller than the sum of its proper divisors (2324394303000).

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

1000218011880 is a wasteful number, since it uses less digits than its factorization.

1000218011880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250148 (or 250144 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 30.

The spelling of 1000218011880 in words is "one trillion, two hundred eighteen million, eleven thousand, eight hundred eighty".