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11122221012 = 2237614015413
BaseRepresentation
bin10100101101110111…
…11001111111010100
31001201010102100221120
422112323321333110
5140234242033022
65035351443540
7542422214220
oct122673717724
931633370846
1011122221012
1147982272a1
1221a49865b0
13108334b486
14777207780
15451682d5c
hex296ef9fd4

11122221012 has 96 divisors (see below), whose sum is σ = 30226232064. Its totient is φ = 3117312000.

The previous prime is 11122221001. The next prime is 11122221023. The reversal of 11122221012 is 21012222111.

It is an interprime number because it is at equal distance from previous prime (11122221001) and next prime (11122221023).

It is a junction number, because it is equal to n+sod(n) for n = 11122220982 and 11122221000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2052018 + ... + 2057430.

It is an arithmetic number, because the mean of its divisors is an integer number (314856584).

Almost surely, 211122221012 is an apocalyptic number.

11122221012 is a gapful number since it is divisible by the number (12) 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 11122221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113116032).

11122221012 is an abundant number, since it is smaller than the sum of its proper divisors (19104011052).

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

11122221012 is a wasteful number, since it uses less digits than its factorization.

11122221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11122221012 its reverse (21012222111), we get a palindrome (32134443123).

The spelling of 11122221012 in words is "eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 401 427 732 802 854 1203 1281 1604 1708 2406 2562 2807 4812 5124 5413 5614 8421 10826 11228 16239 16842 21652 24461 32478 33684 37891 48922 64956 73383 75782 97844 113673 146766 151564 171227 227346 293532 330193 342454 454692 513681 660386 684908 990579 1027362 1320772 1981158 2054724 2170613 2311351 3962316 4341226 4622702 6511839 6934053 8682452 9245404 13023678 13868106 15194291 26047356 27736212 30388582 45582873 60777164 91165746 132407393 182331492 264814786 397222179 529629572 794444358 926851751 1588888716 1853703502 2780555253 3707407004 5561110506 11122221012