110233022020400 has 120 divisors (see below), whose sum is σ = 266046544056384. Its totient is φ = 43891574425600.

The previous prime is 110233022020399. The next prime is 110233022020417. The reversal of 110233022020400 is 4020220332011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 333584057 + ... + 333914343.

Almost surely, 2^{110233022020400} is an apocalyptic number.

110233022020400 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 110233022020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133023272028192).

110233022020400 is an abundant number, since it is smaller than the sum of its proper divisors (155813522035984).

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

110233022020400 is a wasteful number, since it uses less digits than its factorization.

110233022020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334119 (or 334108 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 110233022020400 its reverse (4020220332011), we get a palindrome (114253242352411).

The spelling of 110233022020400 in words is "one hundred ten trillion, two hundred thirty-three billion, twenty-two million, twenty thousand, four hundred".