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122120202020020 = 225433672069187009
BaseRepresentation
bin11011110001000101010011…
…010000101110010010110100
3121000101120120211221011202221
4123301011103100232102310
5112001304133204120040
61111421125112212124
734502615310044251
oct3361052320562264
9530346524834687
10122120202020020
1135a02983411806
121184386869a044
13531ab6898bc79
142222913a12428
15e1b9601e174a
hex6f115342e4b4

122120202020020 has 96 divisors (see below), whose sum is σ = 263260051084800. Its totient is φ = 47558821330944.

The previous prime is 122120202019873. The next prime is 122120202020027. The reversal of 122120202020020 is 20020202021221.

It is a junction number, because it is equal to n+sod(n) for n = 122120202019976 and 122120202020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120202020027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652924276 + ... + 653111284.

It is an arithmetic number, because the mean of its divisors is an integer number (2742292198800).

Almost surely, 2122120202020020 is an apocalyptic number.

122120202020020 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 122120202020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131630025542400).

122120202020020 is an abundant number, since it is smaller than the sum of its proper divisors (141139849064780).

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

122120202020020 is a wasteful number, since it uses less digits than its factorization.

122120202020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189497 (or 189495 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122120202020020 its reverse (20020202021221), we get a palindrome (142140404041241).

The spelling of 122120202020020 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 367 430 734 860 1468 1835 2069 3670 4138 7340 8276 10345 15781 20690 31562 41380 63124 78905 88967 157810 177934 187009 315620 355868 374018 444835 748036 759323 889670 935045 1518646 1779340 1870090 3037292 3740180 3796615 7593230 8041387 15186460 16082774 32165548 32650889 40206935 65301778 68632303 80413870 130603556 137264606 160827740 163254445 274529212 326508890 343161515 386921621 653017780 686323030 773843242 1372646060 1547686484 1934608105 2951189029 3869216210 5902378058 7738432420 11804756116 14755945145 16637629703 29511890290 33275259406 59023780580 66550518812 83188148515 142000234907 166376297030 284000469814 332752594060 568000939628 710001174535 1420002349070 2840004698140 6106010101001 12212020202002 24424040404004 30530050505005 61060101010010 122120202020020