1125142435200 has 384 divisors, whose sum is σ = 4237482712320. Its totient is φ = 257046405120.

The previous prime is 1125142435187. The next prime is 1125142435217. The reversal of 1125142435200 is 25342415211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218599027 + ... + 218604173.

It is an arithmetic number, because the mean of its divisors is an integer number (11035111230).

Almost surely, 2^{1125142435200} is an apocalyptic number.

1125142435200 is a gapful number since it is divisible by the number (10) 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 1125142435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118741356160).

1125142435200 is an abundant number, since it is smaller than the sum of its proper divisors (3112340277120).

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

1125142435200 is a wasteful number, since it uses less digits than its factorization.

1125142435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8434 (or 8417 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 1125142435200 in words is "one trillion, one hundred twenty-five billion, one hundred forty-two million, four hundred thirty-five thousand, two hundred".