110125434421200 has 720 divisors, whose sum is σ = 395411622036480. Its totient is φ = 26172323865600.

The previous prime is 110125434421193. The next prime is 110125434421267. The reversal of 110125434421200 is 2124434521011.

It is a super-2 number, since 2×110125434421200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3143998087 + ... + 3144033113.

It is an arithmetic number, because the mean of its divisors is an integer number (549182808384).

Almost surely, 2^{110125434421200} is an apocalyptic number.

110125434421200 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 110125434421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197705811018240).

110125434421200 is an abundant number, since it is smaller than the sum of its proper divisors (285286187615280).

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

110125434421200 is a wasteful number, since it uses less digits than its factorization.

110125434421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35496 (or 35474 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 110125434421200 its reverse (2124434521011), we get a palindrome (112249868942211).

The spelling of 110125434421200 in words is "one hundred ten trillion, one hundred twenty-five billion, four hundred thirty-four million, four hundred twenty-one thousand, two hundred".