2125123629216 has 1152 divisors, whose sum is σ = 7275405312000. Its totient is φ = 542090465280.

The previous prime is 2125123629203. The next prime is 2125123629271. The reversal of 2125123629216 is 6129263215212.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26900299065 + ... + 26900299143.

It is an arithmetic number, because the mean of its divisors is an integer number (6315456000).

Almost surely, 2^{2125123629216} 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 2125123629216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637702656000).

2125123629216 is an abundant number, since it is smaller than the sum of its proper divisors (5150281682784).

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

2125123629216 is a wasteful number, since it uses less digits than its factorization.

2125123629216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 214 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The spelling of 2125123629216 in words is "two trillion, one hundred twenty-five billion, one hundred twenty-three million, six hundred twenty-nine thousand, two hundred sixteen".