1083198631200 has 288 divisors, whose sum is σ = 4033555585920. Its totient is φ = 247339008000.

The previous prime is 1083198631181. The next prime is 1083198631201. The reversal of 1083198631200 is 21368913801.

It is a super-2 number, since 2×1083198631200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1083198631201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16919250 + ... + 16983150.

It is an arithmetic number, because the mean of its divisors is an integer number (14005401340).

Almost surely, 2^{1083198631200} is an apocalyptic number.

1083198631200 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 1083198631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016777792960).

1083198631200 is an abundant number, since it is smaller than the sum of its proper divisors (2950356954720).

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

1083198631200 is a wasteful number, since it uses less digits than its factorization.

1083198631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64940 (or 64927 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 1083198631200 in words is "one trillion, eighty-three billion, one hundred ninety-eight million, six hundred thirty-one thousand, two hundred".