2112071524992 has 512 divisors, whose sum is σ = 7330780800000. Its totient is φ = 590188032000.

The previous prime is 2112071524949. The next prime is 2112071525017. The reversal of 2112071524992 is 2994251702112.

2112071524992 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 0 + 7 + 152 + 499 + 2 = 666.

It is a super-2 number, since 2×2112071524992² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 740816367 + ... + 740819217.

It is an arithmetic number, because the mean of its divisors is an integer number (14317931250).

Almost surely, 2^{2112071524992} is an apocalyptic number.

2112071524992 is a gapful number since it is divisible by the number (22) 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 2112071524992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665390400000).

2112071524992 is an abundant number, since it is smaller than the sum of its proper divisors (5218709275008).

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

2112071524992 is a wasteful number, since it uses less digits than its factorization.

2112071524992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 2112071524992 in words is "two trillion, one hundred twelve billion, seventy-one million, five hundred twenty-four thousand, nine hundred ninety-two".