2125114099200 has 960 divisors, whose sum is σ = 8163017533440. Its totient is φ = 540942336000.

The previous prime is 2125114099151. The next prime is 2125114099211. The reversal of 2125114099200 is 29904115212.

2125114099200 is a `hidden beast` number, since 2 + 12 + 511 + 40 + 9 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2125114099200² (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 95 ways as a sum of consecutive naturals, for example, 665969605 + ... + 665972795.

It is an arithmetic number, because the mean of its divisors is an integer number (8503143264).

Almost surely, 2^{2125114099200} is an apocalyptic number.

2125114099200 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 2125114099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081508766720).

2125114099200 is an abundant number, since it is smaller than the sum of its proper divisors (6037903434240).

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

2125114099200 is a wasteful number, since it uses less digits than its factorization.

2125114099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 2125114099200 in words is "two trillion, one hundred twenty-five billion, one hundred fourteen million, ninety-nine thousand, two hundred".