10120000344 has 64 divisors (see below), whose sum is σ = 26189568000. Its totient is φ = 3255336960.

The previous prime is 10120000337. The next prime is 10120000349. The reversal of 10120000344 is 44300002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120000349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248152 + ... + 286040.

It is an arithmetic number, because the mean of its divisors is an integer number (409212000).

Almost surely, 2^10120000344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120000344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094784000).

10120000344 is an abundant number, since it is smaller than the sum of its proper divisors (16069567656).

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

10120000344 is a wasteful number, since it uses less digits than its factorization.

10120000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38288 (or 38284 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10120000344 its reverse (44300002101), we get a palindrome (54420002445).

The spelling of 10120000344 in words is "ten billion, one hundred twenty million, three hundred forty-four", and thus it is an aban number.