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22111201220112 = 2432374150000229
BaseRepresentation
bin1010000011100001010100…
…10010110101011000010000
32220021210212122000122012200
411001300222102311120100
510344232220003020422
6115005425015123200
74441324115216604
oct501605222653020
986253778018180
1022111201220112
117055342718424
122591370673500
13c45100b75924
1456628b65b504
1528526a6382ac
hex141c2a4b5610

22111201220112 has 60 divisors (see below), whose sum is σ = 63553103522220. Its totient is φ = 7171200393984.

The previous prime is 22111201220107. The next prime is 22111201220113. The reversal of 22111201220112 is 21102210211122.

22111201220112 is a `hidden beast` number, since 2 + 211 + 120 + 1 + 220 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10001886955776 + 12109314264336 = 3162576^2 + 3479844^2 .

It is a super-4 number, since 4×221112012201124 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22111201220113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2074994787 + ... + 2075005442.

It is an arithmetic number, because the mean of its divisors is an integer number (1059218392037).

Almost surely, 222111201220112 is an apocalyptic number.

It is an amenable number.

22111201220112 is an abundant number, since it is smaller than the sum of its proper divisors (41441902302108).

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

22111201220112 is a wasteful number, since it uses less digits than its factorization.

22111201220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150000280 (or 4150000271 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22111201220112 its reverse (21102210211122), we get a palindrome (43213411431234).

The spelling of 22111201220112 in words is "twenty-two trillion, one hundred eleven billion, two hundred one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 4150000229 8300000458 12450000687 16600000916 24900001374 33200001832 37350002061 49800002748 66400003664 74700004122 99600005496 149400008244 153550008473 199200010992 298800016488 307100016946 460650025419 597600032976 614200033892 921300050838 1228400067784 1381950076257 1842600101676 2456800135568 2763900152514 3685200203352 5527800305028 7370400406704 11055600610056 22111201220112