1125343405200 has 240 divisors, whose sum is σ = 4127460496256. Its totient is φ = 256744857600.

The previous prime is 1125343405171. The next prime is 1125343405223. The reversal of 1125343405200 is 25043435211.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 4420584 + ... + 4668216.

Almost surely, 2^{1125343405200} is an apocalyptic number.

1125343405200 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 1125343405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063730248128).

1125343405200 is an abundant number, since it is smaller than the sum of its proper divisors (3002117091056).

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

1125343405200 is a wasteful number, since it uses less digits than its factorization.

1125343405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248202 (or 248191 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 1125343405200 in words is "one trillion, one hundred twenty-five billion, three hundred forty-three million, four hundred five thousand, two hundred".