2112510451200 has 240 divisors, whose sum is σ = 6980432152320. Its totient is φ = 563183902720.

The previous prime is 2112510451189. The next prime is 2112510451211. The reversal of 2112510451200 is 21540152112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2112510451189) and next prime (2112510451211).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266760841 + ... + 266768759.

It is an arithmetic number, because the mean of its divisors is an integer number (29085133968).

Almost surely, 2^{2112510451200} is an apocalyptic number.

2112510451200 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 2112510451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490216076160).

2112510451200 is an abundant number, since it is smaller than the sum of its proper divisors (4867921701120).

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

2112510451200 is an equidigital number, since it uses as much as digits as its factorization.

2112510451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14897 (or 14876 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 2112510451200 in words is "two trillion, one hundred twelve billion, five hundred ten million, four hundred fifty-one thousand, two hundred".