1203973948800 has 1152 divisors, whose sum is σ = 5032735830720. Its totient is φ = 268369920000.

The previous prime is 1203973948763. The next prime is 1203973948819. The reversal of 1203973948800 is 88493793021.

1203973948800 is a `hidden beast` number, since 120 + 3 + 9 + 7 + 39 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-5 number, since 5×1203973948800⁵ (a number of 62 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3002428600 + ... + 3002429000.

Almost surely, 2^{1203973948800} is an apocalyptic number.

1203973948800 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 1203973948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516367915360).

1203973948800 is an abundant number, since it is smaller than the sum of its proper divisors (3828761881920).

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

1203973948800 is a wasteful number, since it uses less digits than its factorization.

1203973948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1203973948800 in words is "one trillion, two hundred three billion, nine hundred seventy-three million, nine hundred forty-eight thousand, eight hundred".