2012097372192 has 192 divisors, whose sum is σ = 6029049438720. Its totient is φ = 652488480000.

The previous prime is 2012097372191. The next prime is 2012097372193. The reversal of 2012097372192 is 2912737902102.

2012097372192 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 0 + 97 + 372 + 192 = 666.

It is an interprime number because it is at equal distance from previous prime (2012097372191) and next prime (2012097372193).

It is not an unprimeable number, because it can be changed into a prime (2012097372191) 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 31 ways as a sum of consecutive naturals, for example, 9217267 + ... + 9433037.

It is an arithmetic number, because the mean of its divisors is an integer number (31401299160).

Almost surely, 2^{2012097372192} 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 2012097372192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014524719360).

2012097372192 is an abundant number, since it is smaller than the sum of its proper divisors (4016952066528).

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

2012097372192 is a wasteful number, since it uses less digits than its factorization.

2012097372192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216084 (or 216070 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 2012097372192 in words is "two trillion, twelve billion, ninety-seven million, three hundred seventy-two thousand, one hundred ninety-two".