2145251301200 has 180 divisors, whose sum is σ = 6202170742140. Its totient is φ = 710151966720.

The previous prime is 2145251301197. The next prime is 2145251301203. The reversal of 2145251301200 is 21031525412.

It is an interprime number because it is at equal distance from previous prime (2145251301197) and next prime (2145251301203).

It can be written as a sum of positive squares in 6 ways, for example, as 247315246864 + 1897936054336 = 497308^2 + 1377656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2145251301200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145251301203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1318697 + ... + 2455496.

It is an arithmetic number, because the mean of its divisors is an integer number (34456504123).

Almost surely, 2^{2145251301200} is an apocalyptic number.

2145251301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145251301200 is an abundant number, since it is smaller than the sum of its proper divisors (4056919440940).

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

2145251301200 is a wasteful number, since it uses less digits than its factorization.

2145251301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774254 (or 3774236 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 2145251301200 its reverse (21031525412), we get a palindrome (2166282826612).

The spelling of 2145251301200 in words is "two trillion, one hundred forty-five billion, two hundred fifty-one million, three hundred one thousand, two hundred".