1000033002012 has 48 divisors (see below), whose sum is σ = 2545986973824. Its totient is φ = 302986920000.

The previous prime is 1000033002011. The next prime is 1000033002013. The reversal of 1000033002012 is 2102003300001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000033002011) and next prime (1000033002013).

It is a super-2 number, since 2×1000033002012² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000033002011) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 88087 + ... + 1416977.

It is an arithmetic number, because the mean of its divisors is an integer number (53041395288).

Almost surely, 2^{1000033002012} is an apocalyptic number.

1000033002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000033002012 is an abundant number, since it is smaller than the sum of its proper divisors (1545953971812).

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

1000033002012 is a wasteful number, since it uses less digits than its factorization.

1000033002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334610 (or 1334608 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1000033002012 its reverse (2102003300001), we get a palindrome (3102036302013).

The spelling of 1000033002012 in words is "one trillion, thirty-three million, two thousand, twelve".