10222721161632 has 144 divisors (see below), whose sum is σ = 33691785708672. Its totient is φ = 2879639723520.

The previous prime is 10222721161607. The next prime is 10222721161633. The reversal of 10222721161632 is 23616112722201.

10222721161632 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 7 + 2 + 1 + 1 + 616 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10222721161633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35566683 + ... + 35852954.

It is an arithmetic number, because the mean of its divisors is an integer number (233970734088).

Almost surely, 2^{10222721161632} is an apocalyptic number.

10222721161632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10222721161632 is an abundant number, since it is smaller than the sum of its proper divisors (23469064547040).

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

10222721161632 is a wasteful number, since it uses less digits than its factorization.

10222721161632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71419731 (or 71419720 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 10222721161632 its reverse (23616112722201), we get a palindrome (33838833883833).

The spelling of 10222721161632 in words is "ten trillion, two hundred twenty-two billion, seven hundred twenty-one million, one hundred sixty-one thousand, six hundred thirty-two".