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11221123122 = 23211174337699
BaseRepresentation
bin10100111001101010…
…01100000000110010
31001222000112010010200
422130311030000302
5140440101414442
65053243340030
7545032654446
oct123465140062
931860463120
1011221123122
114839038980
122211b21616
13109a999331
147863d0826
1545a1bc34c
hex29cd4c032

11221123122 has 96 divisors (see below), whose sum is σ = 28151323200. Its totient is φ = 3192514560.

The previous prime is 11221123117. The next prime is 11221123127. The reversal of 11221123122 is 22132112211.

It is an interprime number because it is at equal distance from previous prime (11221123117) and next prime (11221123127).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 11221123095 and 11221123104.

It is not an unprimeable number, because it can be changed into a prime (11221123127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1453629 + ... + 1461327.

It is an arithmetic number, because the mean of its divisors is an integer number (293242950).

Almost surely, 211221123122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221123122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14075661600).

11221123122 is an abundant number, since it is smaller than the sum of its proper divisors (16930200078).

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

11221123122 is a wasteful number, since it uses less digits than its factorization.

11221123122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8168 (or 8165 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 11221123122 its reverse (22132112211), we get a palindrome (33353235333).

The spelling of 11221123122 in words is "eleven billion, two hundred twenty-one million, one hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 433 561 866 1122 1299 1683 2598 3366 3897 4763 7361 7699 7794 9526 14289 14722 15398 22083 23097 28578 42867 44166 46194 66249 69291 80971 84689 85734 130883 132498 138582 161942 169378 242913 254067 261766 392649 485826 508134 728739 762201 785298 1177947 1439713 1457478 1524402 2355894 2879426 3333667 4319139 6667334 8638278 10001001 12957417 20002002 25914834 30003003 36670337 56672339 60006006 73340674 110011011 113344678 170017017 220022022 330033033 340034034 510051051 623395729 660066066 1020102102 1246791458 1870187187 3740374374 5610561561 11221123122