10722240000 has 800 divisors, whose sum is σ = 42568748640. Its totient is φ = 2654208000.

The previous prime is 10722239989. The next prime is 10722240013. The reversal of 10722240000 is 4222701.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×10722240000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 146879964 + ... + 146880036.

Almost surely, 2^10722240000 is an apocalyptic number.

10722240000 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 10722240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21284374320).

10722240000 is an abundant number, since it is smaller than the sum of its proper divisors (31846508640).

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

10722240000 is an frugal number, since it uses more digits than its factorization.

10722240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 10722240000 its reverse (4222701), we get a palindrome (10726462701).

The spelling of 10722240000 in words is "ten billion, seven hundred twenty-two million, two hundred forty thousand".