2112016599000 has 1280 divisors, whose sum is σ = 9301923671040. Its totient is φ = 434211840000.

The previous prime is 2112016598977. The next prime is 2112016599037. The reversal of 2112016599000 is 9956102112.

It is a super-2 number, since 2×2112016599000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 604987255 + ... + 604990745.

It is an arithmetic number, because the mean of its divisors is an integer number (7267127868).

Almost surely, 2^{2112016599000} is an apocalyptic number.

2112016599000 is a gapful number since it is divisible by the number (20) 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 2112016599000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650961835520).

2112016599000 is an abundant number, since it is smaller than the sum of its proper divisors (7189907072040).

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

2112016599000 is a wasteful number, since it uses less digits than its factorization.

2112016599000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 2112016599000 in words is "two trillion, one hundred twelve billion, sixteen million, five hundred ninety-nine thousand".