2252125140000 has 120 divisors (see below), whose sum is σ = 7387421081040. Its totient is φ = 600566688000.

The previous prime is 2252125139977. The next prime is 2252125140007. The reversal of 2252125140000 is 415212522.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (2252125140007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18707710 + ... + 18827709.

It is an arithmetic number, because the mean of its divisors is an integer number (61561842342).

Almost surely, 2^{2252125140000} is an apocalyptic number.

2252125140000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252125140000 is an abundant number, since it is smaller than the sum of its proper divisors (5135295941040).

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

2252125140000 is an equidigital number, since it uses as much as digits as its factorization.

2252125140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37535452 (or 37535429 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 2252125140000 in words is "two trillion, two hundred fifty-two billion, one hundred twenty-five million, one hundred forty thousand".