10722405120 has 288 divisors, whose sum is σ = 39806000640. Its totient is φ = 2408939520.

The previous prime is 10722405119. The next prime is 10722405131. The reversal of 10722405120 is 2150422701.

10722405120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10722405120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1582540 + ... + 1589300.

It is an arithmetic number, because the mean of its divisors is an integer number (138215280).

Almost surely, 2^10722405120 is an apocalyptic number.

10722405120 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 10722405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19903000320).

10722405120 is an abundant number, since it is smaller than the sum of its proper divisors (29083595520).

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

10722405120 is an equidigital number, since it uses as much as digits as its factorization.

10722405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6851 (or 6837 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

Adding to 10722405120 its reverse (2150422701), we get a palindrome (12872827821).

The spelling of 10722405120 in words is "ten billion, seven hundred twenty-two million, four hundred five thousand, one hundred twenty".