1035240125200 has 120 divisors (see below), whose sum is σ = 2540674886400. Its totient is φ = 405249953280.

The previous prime is 1035240125189. The next prime is 1035240125233. The reversal of 1035240125200 is 25210425301.

It is a super-2 number, since 2×1035240125200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5164446 + ... + 5361154.

It is an arithmetic number, because the mean of its divisors is an integer number (21172290720).

Almost surely, 2^{1035240125200} is an apocalyptic number.

1035240125200 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 1035240125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270337443200).

1035240125200 is an abundant number, since it is smaller than the sum of its proper divisors (1505434761200).

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

1035240125200 is a wasteful number, since it uses less digits than its factorization.

1035240125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197009 (or 196998 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 1035240125200 in words is "one trillion, thirty-five billion, two hundred forty million, one hundred twenty-five thousand, two hundred".