1101211200000 has 1200 divisors, whose sum is σ = 4264438230360. Its totient is φ = 282562560000.

The previous prime is 1101211199939. The next prime is 1101211200031. The reversal of 1101211200000 is 21121011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 216738664704 + 884472535296 = 465552^2 + 940464^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×1101211200000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 119 ways as a sum of consecutive naturals, for example, 3758399854 + ... + 3758400146.

Almost surely, 2^{1101211200000} is an apocalyptic number.

1101211200000 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 1101211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132219115180).

1101211200000 is an abundant number, since it is smaller than the sum of its proper divisors (3163227030360).

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

1101211200000 is an frugal number, since it uses more digits than its factorization.

1101211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1101211200000 its reverse (21121011), we get a palindrome (1101232321011).

The spelling of 1101211200000 in words is "one trillion, one hundred one billion, two hundred eleven million, two hundred thousand".