110120202001200 has 480 divisors, whose sum is σ = 362091642080256. Its totient is φ = 28596954746880.

The previous prime is 110120202001181. The next prime is 110120202001217. The reversal of 110120202001200 is 2100202021011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4633311717 + ... + 4633335483.

Almost surely, 2^{110120202001200} is an apocalyptic number.

110120202001200 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 110120202001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181045821040128).

110120202001200 is an abundant number, since it is smaller than the sum of its proper divisors (251971440079056).

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

110120202001200 is a wasteful number, since it uses less digits than its factorization.

110120202001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24381 (or 24370 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110120202001200 its reverse (2100202021011), we get a palindrome (112220404022211).

The spelling of 110120202001200 in words is "one hundred ten trillion, one hundred twenty billion, two hundred two million, one thousand, two hundred".