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122101212020 = 225198310973529
BaseRepresentation
bin111000110110111001…
…1001010001101110100
3102200011102222020111212
41301231303022031310
54000030402241040
6132031552420552
711551532114654
oct1615563121564
9380142866455
10122101212020
1147867a50887
121b7b7547758
13b68b60aaa8
145ca442a364
1532996abd65
hex1c6dcca374

122101212020 has 96 divisors (see below), whose sum is σ = 273486326400. Its totient is φ = 45657851904.

The previous prime is 122101212017. The next prime is 122101212043. The reversal of 122101212020 is 20212101221.

It is a junction number, because it is equal to n+sod(n) for n = 122101211986 and 122101212004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34597616 + ... + 34601144.

It is an arithmetic number, because the mean of its divisors is an integer number (2848815900).

Almost surely, 2122101212020 is an apocalyptic number.

122101212020 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 122101212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136743163200).

122101212020 is an abundant number, since it is smaller than the sum of its proper divisors (151385114380).

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

122101212020 is a wasteful number, since it uses less digits than its factorization.

122101212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 4735 counting only the distinct ones).

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

Adding to 122101212020 its reverse (20212101221), we get a palindrome (142313313241).

The spelling of 122101212020 in words is "one hundred twenty-two billion, one hundred one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 83 95 166 190 332 380 415 830 1097 1577 1660 2194 3154 3529 4388 5485 6308 7058 7885 10970 14116 15770 17645 20843 21940 31540 35290 41686 67051 70580 83372 91051 104215 134102 182102 208430 268204 292907 335255 364204 416860 455255 585814 670510 910510 1171628 1341020 1464535 1729969 1821020 2929070 3459938 3871313 5565233 5858140 6919876 7742626 8649845 11130466 15485252 17299690 19356565 22260932 27826165 34599380 38713130 55652330 73554947 77426260 111304660 147109894 294219788 321318979 367774735 642637958 735549470 1285275916 1471098940 1606594895 3213189790 6105060601 6426379580 12210121202 24420242404 30525303005 61050606010 122101212020