1101230213200 has 120 divisors (see below), whose sum is σ = 2868345711000. Its totient is φ = 403878881280.

The previous prime is 1101230213189. The next prime is 1101230213227. The reversal of 1101230213200 is 23120321011.

It can be written as a sum of positive squares in 12 ways, for example, as 693915656256 + 407314556944 = 833016^2 + 638212^2 .

It is a super-4 number, since 4×1101230213200⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64146 + ... + 1485454.

It is an arithmetic number, because the mean of its divisors is an integer number (23902880925).

Almost surely, 2^{1101230213200} is an apocalyptic number.

1101230213200 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 1101230213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434172855500).

1101230213200 is an abundant number, since it is smaller than the sum of its proper divisors (1767115497800).

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

1101230213200 is a wasteful number, since it uses less digits than its factorization.

1101230213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421489 (or 1421478 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1101230213200 its reverse (23120321011), we get a palindrome (1124350534211).

The spelling of 1101230213200 in words is "one trillion, one hundred one billion, two hundred thirty million, two hundred thirteen thousand, two hundred".