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122021011002020 = 225132148724277667
BaseRepresentation
bin11011101111101000111011…
…000001000001001010100100
3121000001002120001112101012112
4123233220323001001022210
5111443143012304031040
61111303402324340152
734462504255231664
oct3357507301011244
9530032501471175
10122021011002020
11359749026a1879
12118285a5844658
1353116bb958800
14221bbc41b81a4
15e190a7005365
hex6efa3b0412a4

122021011002020 has 72 divisors (see below), whose sum is σ = 277658056497024. Its totient is φ = 45023611371648.

The previous prime is 122021011001987. The next prime is 122021011002049. The reversal of 122021011002020 is 20200110120221.

It is a junction number, because it is equal to n+sod(n) for n = 122021011001986 and 122021011002004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7112774 + ... + 17164893.

It is an arithmetic number, because the mean of its divisors is an integer number (3856361895792).

Almost surely, 2122021011002020 is an apocalyptic number.

122021011002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021011002020 is an abundant number, since it is smaller than the sum of its proper divisors (155637045495004).

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

122021011002020 is a wasteful number, since it uses less digits than its factorization.

122021011002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24279189 (or 24279174 counting only the distinct ones).

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

Adding to 122021011002020 its reverse (20200110120221), we get a palindrome (142221121122241).

The spelling of 122021011002020 in words is "one hundred twenty-two trillion, twenty-one billion, eleven million, two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1487 1690 2974 3380 5948 7435 14870 19331 29740 38662 77324 96655 193310 251303 386620 502606 1005212 1256515 2513030 5026060 24277667 48555334 97110668 121388335 242776670 315609671 485553340 631219342 1262438684 1578048355 3156096710 4102925723 6312193420 8205851446 16411702892 20514628615 36100890829 41029257230 72201781658 82058514460 144403563316 180504454145 361008908290 469311580777 722017816580 938623161554 1877246323108 2346557903885 4693115807770 6101050550101 9386231615540 12202101100202 24404202200404 30505252750505 61010505501010 122021011002020