1001006112 has 48 divisors (see below), whose sum is σ = 2631902112. Its totient is φ = 333127680.

The previous prime is 1001006099. The next prime is 1001006113. The reversal of 1001006112 is 2116001001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1001006112² = 2004026472522713088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1001006113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53403 + ... + 69669.

It is an arithmetic number, because the mean of its divisors is an integer number (54831294).

Almost surely, 2^1001006112 is an apocalyptic number.

1001006112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001006112 is an abundant number, since it is smaller than the sum of its proper divisors (1630896000).

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

1001006112 is a wasteful number, since it uses less digits than its factorization.

1001006112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16921 (or 16913 counting only the distinct ones).

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

The square root of 1001006112 is about 31638.6806298872. The cubic root of 1001006112 is about 1000.3352582560.

Adding to 1001006112 its reverse (2116001001), we get a palindrome (3117007113).

The spelling of 1001006112 in words is "one billion, one million, six thousand, one hundred twelve".