1101212211200 has 288 divisors, whose sum is σ = 2803378228560. Its totient is φ = 428851200000.

The previous prime is 1101212211157. The next prime is 1101212211221. The reversal of 1101212211200 is 21122121011.

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 23 ways as a sum of consecutive naturals, for example, 315441455 + ... + 315444945.

Almost surely, 2^{1101212211200} is an apocalyptic number.

1101212211200 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 1101212211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401689114280).

1101212211200 is an abundant number, since it is smaller than the sum of its proper divisors (1702166017360).

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

1101212211200 is a wasteful number, since it uses less digits than its factorization.

1101212211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1101212211200 its reverse (21122121011), we get a palindrome (1122334332211).

The spelling of 1101212211200 in words is "one trillion, one hundred one billion, two hundred twelve million, two hundred eleven thousand, two hundred".