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22660872081120 = 25335713217267229
BaseRepresentation
bin1010010011100001001010…
…01110110000111011100000
32222020100200010201112021000
411021300211032300323200
510432233431223043440
6120110132205232000
74526123351361150
oct511604516607340
988210603645230
1022660872081120
117247470581979
12265b9b4262600
13c84bac802500
14584b135b4760
152946dbc98730
hex149c253b0ee0

22660872081120 has 3456 divisors, whose sum is σ = 106284024806400. Its totient is φ = 4413427679232.

The previous prime is 22660872081097. The next prime is 22660872081151. The reversal of 22660872081120 is 2118027806622.

22660872081120 is a `hidden beast` number, since 2 + 2 + 6 + 608 + 7 + 2 + 0 + 8 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 98955773166 + ... + 98955773394.

It is an arithmetic number, because the mean of its divisors is an integer number (30753479400).

Almost surely, 222660872081120 is an apocalyptic number.

22660872081120 is a gapful number since it is divisible by the number (20) 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 22660872081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53142012403200).

22660872081120 is an abundant number, since it is smaller than the sum of its proper divisors (83623152725280).

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

22660872081120 is a wasteful number, since it uses less digits than its factorization.

22660872081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

Adding to 22660872081120 its reverse (2118027806622), we get a palindrome (24778899887742).

The spelling of 22660872081120 in words is "twenty-two trillion, six hundred sixty billion, eight hundred seventy-two million, eighty-one thousand, one hundred twenty".