1001211209984 has 144 divisors (see below), whose sum is σ = 2087799126336. Its totient is φ = 478776729600.

The previous prime is 1001211209983. The next prime is 1001211210053. The reversal of 1001211209984 is 4899021121001.

It is not an unprimeable number, because it can be changed into a prime (1001211209983) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 132765254 + ... + 132772794.

It is an arithmetic number, because the mean of its divisors is an integer number (14498605044).

Almost surely, 2^{1001211209984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001211209984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043899563168).

1001211209984 is an abundant number, since it is smaller than the sum of its proper divisors (1086587916352).

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

1001211209984 is a wasteful number, since it uses less digits than its factorization.

1001211209984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7832 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 38.

The spelling of 1001211209984 in words is "one trillion, one billion, two hundred eleven million, two hundred nine thousand, nine hundred eighty-four".