1101220213200 has 960 divisors, whose sum is σ = 4014652688640. Its totient is φ = 256644218880.

The previous prime is 1101220213189. The next prime is 1101220213207. The reversal of 1101220213200 is 23120221011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1101220213200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101220213207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1857032104 + ... + 1857032696.

It is an arithmetic number, because the mean of its divisors is an integer number (4181929884).

Almost surely, 2^{1101220213200} is an apocalyptic number.

1101220213200 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 1101220213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007326344320).

1101220213200 is an abundant number, since it is smaller than the sum of its proper divisors (2913432475440).

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

1101220213200 is a wasteful number, since it uses less digits than its factorization.

1101220213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1101220213200 its reverse (23120221011), we get a palindrome (1124340434211).

The spelling of 1101220213200 in words is "one trillion, one hundred one billion, two hundred twenty million, two hundred thirteen thousand, two hundred".