2012172244992 has 1152 divisors, whose sum is σ = 7614598118400. Its totient is φ = 497058840576.

The previous prime is 2012172244987. The next prime is 2012172244997. The reversal of 2012172244992 is 2994422712102.

2012172244992 is a `hidden beast` number, since 20 + 12 + 172 + 2 + 449 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2012172244987) and next prime (2012172244997).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2012172244992² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012172244997) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3282499278 + ... + 3282499890.

It is an arithmetic number, because the mean of its divisors is an integer number (6609894200).

Almost surely, 2^{2012172244992} 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 2012172244992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807299059200).

2012172244992 is an abundant number, since it is smaller than the sum of its proper divisors (5602425873408).

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

2012172244992 is a wasteful number, since it uses less digits than its factorization.

2012172244992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2012172244992 in words is "two trillion, twelve billion, one hundred seventy-two million, two hundred forty-four thousand, nine hundred ninety-two".