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22121321124 = 223731671031231
BaseRepresentation
bin10100100110100010…
…001001001010100100
32010002200011112202210
4110212202021022210
5330301024233444
614055024403420
71412121061410
oct244642111244
963080145683
1022121321124
1194219aaa81
124354476570
13211701c336
1410dbd21d40
158970e57b9
hex5268892a4

22121321124 has 192 divisors, whose sum is σ = 62452662272. Its totient is φ = 5961859200.

The previous prime is 22121321107. The next prime is 22121321177. The reversal of 22121321124 is 42112312122.

It is a happy number.

It is a super-2 number, since 2×221213211242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22121321124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17969589 + ... + 17970819.

Almost surely, 222121321124 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 22121321124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31226331136).

22121321124 is an abundant number, since it is smaller than the sum of its proper divisors (40331341148).

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

22121321124 is a wasteful number, since it uses less digits than its factorization.

22121321124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1444 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

Adding to 22121321124 its reverse (42112312122), we get a palindrome (64233633246).

The spelling of 22121321124 in words is "twenty-two billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred twenty-four".