1203135303040 has 256 divisors, whose sum is σ = 3180918470400. Its totient is φ = 431517818880.

The previous prime is 1203135302983. The next prime is 1203135303127. The reversal of 1203135303040 is 403035313021.

It is a junction number, because it is equal to n+sod(n) for n = 1203135302996 and 1203135303014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174187267 + ... + 174194173.

It is an arithmetic number, because the mean of its divisors is an integer number (12425462775).

Almost surely, 2^{1203135303040} is an apocalyptic number.

1203135303040 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 1203135303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590459235200).

1203135303040 is an abundant number, since it is smaller than the sum of its proper divisors (1977783167360).

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

1203135303040 is a wasteful number, since it uses less digits than its factorization.

1203135303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7273 (or 7261 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The spelling of 1203135303040 in words is "one trillion, two hundred three billion, one hundred thirty-five million, three hundred three thousand, forty".