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22012211120 = 2456116327673
BaseRepresentation
bin10100100000000001…
…111010111110110000
32002211001212011222112
4110200001322332300
5330040111223440
614040130024452
71406324464424
oct244001727660
962731764875
1022012211120
119376357019
124323a18128
1320ca5390c3
1410cb63cb84
1588c741965
hex52007afb0

22012211120 has 80 divisors (see below), whose sum is σ = 52338397152. Its totient is φ = 8607098880.

The previous prime is 22012211101. The next prime is 22012211171. The reversal of 22012211120 is 2111221022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22012211095 and 22012211104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781604 + ... + 809276.

Almost surely, 222012211120 is an apocalyptic number.

22012211120 is a gapful number since it is divisible by the number (20) 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 22012211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26169198576).

22012211120 is an abundant number, since it is smaller than the sum of its proper divisors (30326186032).

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

22012211120 is a wasteful number, since it uses less digits than its factorization.

22012211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27910 (or 27904 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22012211120 its reverse (2111221022), we get a palindrome (24123432142).

The spelling of 22012211120 in words is "twenty-two billion, twelve million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 163 244 305 326 488 610 652 815 976 1220 1304 1630 2440 2608 3260 4880 6520 9943 13040 19886 27673 39772 49715 55346 79544 99430 110692 138365 159088 198860 221384 276730 397720 442768 553460 795440 1106920 1688053 2213840 3376106 4510699 6752212 8440265 9021398 13504424 16880530 18042796 22553495 27008848 33761060 36085592 45106990 67522120 72171184 90213980 135044240 180427960 275152639 360855920 550305278 1100610556 1375763195 2201221112 2751526390 4402442224 5503052780 11006105560 22012211120