10120441200 has 120 divisors (see below), whose sum is σ = 34125494400. Its totient is φ = 2556737280.

The previous prime is 10120441193. The next prime is 10120441211. The reversal of 10120441200 is 214402101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10120441200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199140 + ... + 244739.

It is an arithmetic number, because the mean of its divisors is an integer number (284379120).

Almost surely, 2^10120441200 is an apocalyptic number.

10120441200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120441200 is an abundant number, since it is smaller than the sum of its proper divisors (24005053200).

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

10120441200 is a wasteful number, since it uses less digits than its factorization.

10120441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443919 (or 443908 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10120441200 its reverse (214402101), we get a palindrome (10334843301).

The spelling of 10120441200 in words is "ten billion, one hundred twenty million, four hundred forty-one thousand, two hundred".