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112022012020000 = 25546778273413
BaseRepresentation
bin11001011110001000101000…
…001110111100010100100000
3112200122012101121220002220011
4121132020220032330110200
5104140332040034120000
61034130111334454304
732411215613225215
oct3136105016742440
9480565347802804
10112022012020000
113276a2a5417445
1210692749204394
134a67827005924
141d93c73dbdb0c
15ce3e39de52ba
hex65e2283bc520

112022012020000 has 120 divisors (see below), whose sum is σ = 275998062970476. Its totient is φ = 44742612096000.

The previous prime is 112022012019989. The next prime is 112022012020033. The reversal of 112022012020000 is 20210220211.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 14140036584976 + 97881975435024 = 3760324^2 + 9893532^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9403294 + ... + 17676706.

Almost surely, 2112022012020000 is an apocalyptic number.

112022012020000 is a gapful number since it is divisible by the number (10) 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 112022012020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137999031485238).

112022012020000 is an abundant number, since it is smaller than the sum of its proper divisors (163976050950476).

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

112022012020000 is an frugal number, since it uses more digits than its factorization.

112022012020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8274120 (or 8274097 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 112022012020000 its reverse (20210220211), we get a palindrome (112042222240211).

The spelling of 112022012020000 in words is "one hundred twelve trillion, twenty-two billion, twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 677 800 1000 1250 1354 2000 2500 2708 3385 4000 5000 5416 6770 10000 10832 13540 16925 20000 21664 27080 33850 54160 67700 84625 108320 135400 169250 270800 338500 423125 541600 677000 846250 1354000 1692500 2708000 3385000 6770000 8273413 13540000 16546826 33093652 41367065 66187304 82734130 132374608 165468260 206835325 264749216 330936520 413670650 661873040 827341300 1034176625 1323746080 1654682600 2068353250 3309365200 4136706500 5170883125 5601100601 6618730400 8273413000 10341766250 11202201202 16546826000 20683532500 22404402404 28005503005 33093652000 41367065000 44808804808 56011006010 82734130000 89617609616 112022012020 140027515025 165468260000 179235219232 224044024040 280055030050 448088048080 560110060100 700137575125 896176096160 1120220120200 1400275150250 2240440240400 2800550300500 3500687875625 4480880480800 5601100601000 7001375751250 11202201202000 14002751502500 22404402404000 28005503005000 56011006010000 112022012020000