1101990600000 has 252 divisors, whose sum is σ = 3948075111708. Its totient is φ = 293863680000.

The previous prime is 1101990599863. The next prime is 1101990600013. The reversal of 1101990600000 is 60991011.

It can be written as a sum of positive squares in 6 ways, for example, as 1070678589696 + 31312010304 = 1034736^2 + 176952^2 .

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 35 ways as a sum of consecutive naturals, for example, 1493892 + ... + 2106108.

It is an arithmetic number, because the mean of its divisors is an integer number (15666964729).

Almost surely, 2^{1101990600000} is an apocalyptic number.

1101990600000 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 1101990600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974037555854).

1101990600000 is an abundant number, since it is smaller than the sum of its proper divisors (2846084511708).

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

1101990600000 is an frugal number, since it uses more digits than its factorization.

1101990600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612260 (or 612227 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 1101990600000 in words is "one trillion, one hundred one billion, nine hundred ninety million, six hundred thousand".