1203948748800 has 1134 divisors, whose sum is σ = 5118239621768. Its totient is φ = 275188285440.

The previous prime is 1203948748781. The next prime is 1203948748819. The reversal of 1203948748800 is 88478493021.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 10! ⋅ (4!)⁴.

1203948748800 is a `hidden beast` number, since 12 + 0 + 39 + 487 + 48 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1203948748781) and next prime (1203948748819).

It is a tau number, because it is divible by the number of its divisors (1134).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 171992678397 + ... + 171992678403.

Almost surely, 2^{1203948748800} is an apocalyptic number.

1203948748800 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 1203948748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559119810884).

1203948748800 is an abundant number, since it is smaller than the sum of its proper divisors (3914290872968).

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

1203948748800 is an frugal number, since it uses more digits than its factorization.

1203948748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1203948748800 in words is "one trillion, two hundred three billion, nine hundred forty-eight million, seven hundred forty-eight thousand, eight hundred".