1100712212400 has 240 divisors, whose sum is σ = 3740994453888. Its totient is φ = 275692032000.

The previous prime is 1100712212393. The next prime is 1100712212401. The reversal of 1100712212400 is 42122170011.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1100712212401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9961455 + ... + 10071345.

Almost surely, 2^{1100712212400} is an apocalyptic number.

1100712212400 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 1100712212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870497226944).

1100712212400 is an abundant number, since it is smaller than the sum of its proper divisors (2640282241488).

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

1100712212400 is a wasteful number, since it uses less digits than its factorization.

1100712212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110420 (or 110409 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

Adding to 1100712212400 its reverse (42122170011), we get a palindrome (1142834382411).

The spelling of 1100712212400 in words is "one trillion, one hundred billion, seven hundred twelve million, two hundred twelve thousand, four hundred".