1208120140800 has 528 divisors, whose sum is σ = 4589616364800. Its totient is φ = 311051059200.

The previous prime is 1208120140769. The next prime is 1208120140807. The reversal of 1208120140800 is 80410218021.

It is a super-2 number, since 2×1208120140800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1208120140807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 20014665 + ... + 20074935.

Almost surely, 2^{1208120140800} is an apocalyptic number.

1208120140800 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 1208120140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294808182400).

1208120140800 is an abundant number, since it is smaller than the sum of its proper divisors (3381496224000).

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

1208120140800 is a wasteful number, since it uses less digits than its factorization.

1208120140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60339 (or 60310 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 1208120140800 its reverse (80410218021), we get a palindrome (1288530358821).

The spelling of 1208120140800 in words is "one trillion, two hundred eight billion, one hundred twenty million, one hundred forty thousand, eight hundred".