10120440202000 has 160 divisors (see below), whose sum is σ = 24909460692480. Its totient is φ = 3976211865600.

The previous prime is 10120440201983. The next prime is 10120440202003. The reversal of 10120440202000 is 20204402101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10120440202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30328059 + ... + 30659941.

It is an arithmetic number, because the mean of its divisors is an integer number (155684129328).

Almost surely, 2^{10120440202000} is an apocalyptic number.

10120440202000 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 10120440202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454730346240).

10120440202000 is an abundant number, since it is smaller than the sum of its proper divisors (14789020490480).

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

10120440202000 is a wasteful number, since it uses less digits than its factorization.

10120440202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332178 (or 332162 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10120440202000 its reverse (20204402101), we get a palindrome (10140644604101).

The spelling of 10120440202000 in words is "ten trillion, one hundred twenty billion, four hundred forty million, two hundred two thousand".