1203365120400 has 405 divisors, whose sum is σ = 4277749705411. Its totient is φ = 313262384640.

The previous prime is 1203365120387. The next prime is 1203365120453. The reversal of 1203365120400 is 40215633021.

The square root of 1203365120400 is 1096980.

It is a perfect power (a square), and thus also a powerful number.

1203365120400 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 3 + 651 + 2 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 200034351504 + 1003330768896 = 447252^2 + 1001664^2 .

It is a super-2 number, since 2×1203365120400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3093483406 + ... + 3093483794.

Almost surely, 2^{1203365120400} is an apocalyptic number.

1203365120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1203365120400 is the 1096980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1203365120400

1203365120400 is an abundant number, since it is smaller than the sum of its proper divisors (3074384585011).

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

1203365120400 is an equidigital number, since it uses as much as digits as its factorization.

1203365120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 1203365120400 in words is "one trillion, two hundred three billion, three hundred sixty-five million, one hundred twenty thousand, four hundred".