110012011001200 has 240 divisors, whose sum is σ = 329605922799360. Its totient is φ = 34280692992000.

The previous prime is 110012011001177. The next prime is 110012011001203. The reversal of 110012011001200 is 2100110210011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110012011001203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120558655 + ... + 121467745.

It is an arithmetic number, because the mean of its divisors is an integer number (1373358011664).

Almost surely, 2^{110012011001200} is an apocalyptic number.

110012011001200 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 110012011001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164802961399680).

110012011001200 is an abundant number, since it is smaller than the sum of its proper divisors (219593911798160).

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

110012011001200 is a wasteful number, since it uses less digits than its factorization.

110012011001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913056 (or 913045 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110012011001200 its reverse (2100110210011), we get a palindrome (112112121211211).

The spelling of 110012011001200 in words is "one hundred ten trillion, twelve billion, eleven million, one thousand, two hundred".