1001216000 has 96 divisors (see below), whose sum is σ = 2499063840. Its totient is φ = 400384000.

The previous prime is 1001215991. The next prime is 1001216009. The reversal of 1001216000 is 6121001.

It is an interprime number because it is at equal distance from previous prime (1001215991) and next prime (1001216009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001216009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254045 + ... + 257955.

It is an arithmetic number, because the mean of its divisors is an integer number (26031915).

Almost surely, 2^1001216000 is an apocalyptic number.

1001216000 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 1001216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249531920).

1001216000 is an abundant number, since it is smaller than the sum of its proper divisors (1497847840).

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

1001216000 is an frugal number, since it uses more digits than its factorization.

1001216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1001216000 is about 31641.9974085076. The cubic root of 1001216000 is about 1000.4051691491.

Adding to 1001216000 its reverse (6121001), we get a palindrome (1007337001).

The spelling of 1001216000 in words is "one billion, one million, two hundred sixteen thousand".