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22120011110112 = 253857332687609
BaseRepresentation
bin1010000011110001101110…
…11001111001011011100000
32220022122121121101102022220
411001320313121321123200
510344403240321010422
6115013443125431040
74442055332104236
oct501706731713340
986278547342286
1022120011110112
117059053671153
12259300ab6b480
13c45ba61223a6
14566885706956
152855d3cb0e5c
hex141e376796e0

22120011110112 has 48 divisors (see below), whose sum is σ = 58065728046480. Its totient is φ = 7373248289792.

The previous prime is 22120011109993. The next prime is 22120011110149. The reversal of 22120011110112 is 21101111002122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×221200111101123 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22120011110091 and 22120011110100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6886564 + ... + 9574172.

It is an arithmetic number, because the mean of its divisors is an integer number (1209702667635).

Almost surely, 222120011110112 is an apocalyptic number.

It is an amenable number.

22120011110112 is an abundant number, since it is smaller than the sum of its proper divisors (35945716936368).

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

22120011110112 is a wasteful number, since it uses less digits than its factorization.

22120011110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773355 (or 2773347 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 22120011110112 its reverse (21101111002122), we get a palindrome (43221122112234).

The spelling of 22120011110112 in words is "twenty-two trillion, one hundred twenty billion, eleven million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 85733 171466 257199 342932 514398 685864 1028796 1371728 2057592 2687609 2743456 4115184 5375218 8062827 8230368 10750436 16125654 21500872 32251308 43001744 64502616 86003488 129005232 258010464 230416782397 460833564794 691250347191 921667129588 1382500694382 1843334259176 2765001388764 3686668518352 5530002777528 7373337036704 11060005555056 22120011110112