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122221002022112 = 2571017437270891
BaseRepresentation
bin11011110010100011001011…
…011010001101110011100000
3121000202012202202220211120202
4123302203023122031303200
5112004432103004201422
61111535315254124332
734513114236655340
oct3362431332156340
9530665682824522
10122221002022112
1135a416aa38a264
121185b2ba3506a8
135327511152516
142227756ddcd20
15e1e3ae7a3b92
hex6f28cb68dce0

122221002022112 has 96 divisors (see below), whose sum is σ = 278093819856384. Its totient is φ = 51792003648000.

The previous prime is 122221002022099. The next prime is 122221002022123. The reversal of 122221002022112 is 211220200122221.

It is a congruent number.

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, 13174187 + ... + 20445077.

It is an arithmetic number, because the mean of its divisors is an integer number (2896810623504).

Almost surely, 2122221002022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122221002022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139046909928192).

122221002022112 is an abundant number, since it is smaller than the sum of its proper divisors (155872817834272).

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

122221002022112 is a wasteful number, since it uses less digits than its factorization.

122221002022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7271752 (or 7271744 counting only the distinct ones).

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

Adding to 122221002022112 its reverse (211220200122221), we get a palindrome (333441202144333).

The spelling of 122221002022112 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 101 112 202 224 404 707 743 808 1414 1486 1616 2828 2972 3232 5201 5656 5944 10402 11312 11888 20804 22624 23776 41608 75043 83216 150086 166432 300172 525301 600344 1050602 1200688 2101204 2401376 4202408 7270891 8404816 14541782 16809632 29083564 50896237 58167128 101792474 116334256 203584948 232668512 407169896 734359991 814339792 1468719982 1628679584 2937439964 5140519937 5402272013 5874879928 10281039874 10804544026 11749759856 20562079748 21609088052 23499519712 37815904091 41124159496 43218176104 75631808182 82248318992 86436352208 151263616364 164496637984 172872704416 302527232728 545629473313 605054465456 1091258946626 1210108930912 2182517893252 3819406313191 4365035786504 7638812626382 8730071573008 15277625252764 17460143146016 30555250505528 61110501011056 122221002022112