10221406272 has 756 divisors, whose sum is σ = 38900445948. Its totient is φ = 2554675200.

The previous prime is 10221406243. The next prime is 10221406277. The reversal of 10221406272 is 27260412201.

10221406272 is a `hidden beast` number, since 1 + 0 + 22 + 14 + 0 + 627 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2677441536 + 7543964736 = 51744^2 + 86856^2 .

It is not an unprimeable number, because it can be changed into a prime (10221406277) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 140019228 + ... + 140019300.

Almost surely, 2^10221406272 is an apocalyptic number.

10221406272 is a gapful number since it is divisible by the number (12) 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 10221406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450222974).

10221406272 is an abundant number, since it is smaller than the sum of its proper divisors (28679039676).

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

10221406272 is a wasteful number, since it uses less digits than its factorization.

10221406272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 10221406272 its reverse (27260412201), we get a palindrome (37481818473).

The spelling of 10221406272 in words is "ten billion, two hundred twenty-one million, four hundred six thousand, two hundred seventy-two".