1208026828800 has 1872 divisors, whose sum is σ = 5122460058240. Its totient is φ = 278337945600.

The previous prime is 1208026828793. The next prime is 1208026828807. The reversal of 1208026828800 is 88286208021.

It is an interprime number because it is at equal distance from previous prime (1208026828793) and next prime (1208026828807).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1208026828807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7694438322 + ... + 7694438478.

Almost surely, 2^{1208026828800} is an apocalyptic number.

1208026828800 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 1208026828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561230029120).

1208026828800 is an abundant number, since it is smaller than the sum of its proper divisors (3914433229440).

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

1208026828800 is a wasteful number, since it uses less digits than its factorization.

1208026828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 1208026828800 in words is "one trillion, two hundred eight billion, twenty-six million, eight hundred twenty-eight thousand, eight hundred".