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2221120222112 = 25112631909091
BaseRepresentation
bin100000010100100101000…
…101001111001110100000
321212100002200112222120002
4200110211011033032200
5242342323234101422
64420211334435132
7316320300244451
oct40244505171640
97770080488502
102221120222112
11786a76508500
122ba574802aa8
131315b236c39c
147970793b128
153cb9a6ea692
hex2052514f3a0

2221120222112 has 72 divisors (see below), whose sum is σ = 4814122140576. Its totient is φ = 1007998992000.

The previous prime is 2221120222067. The next prime is 2221120222127. The reversal of 2221120222112 is 2112220211222.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1988687 + ... + 2897777.

It is an arithmetic number, because the mean of its divisors is an integer number (66862807508).

Almost surely, 22221120222112 is an apocalyptic number.

2221120222112 is a gapful number since it is divisible by the number (22) 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 2221120222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407061070288).

2221120222112 is an abundant number, since it is smaller than the sum of its proper divisors (2593001918464).

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

2221120222112 is a wasteful number, since it uses less digits than its factorization.

2221120222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909754 (or 909735 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2221120222112 its reverse (2112220211222), we get a palindrome (4333340433334).

The spelling of 2221120222112 in words is "two trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 631 968 1262 1936 2524 3872 5048 6941 10096 13882 20192 27764 55528 76351 111056 152702 222112 305404 610808 909091 1221616 1818182 2443232 3636364 7272728 10000001 14545456 20000002 29090912 40000004 80000008 110000011 160000016 220000022 320000032 440000044 573636421 880000088 1147272842 1760000176 2294545684 3520000352 4589091368 6310000631 9178182736 12620001262 18356365472 25240002524 50480005048 69410006941 100960010096 138820013882 201920020192 277640027764 555280055528 1110560111056 2221120222112