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2122010022220 = 22511101563169627
BaseRepresentation
bin11110111000010001101…
…001110101000101001100
321111212021112020011120221
4132320101221311011030
5234231334031202340
64302500555121124
7306211246403404
oct36702151650514
97455245204527
102122010022220
11748a373783a0
122a3314a431a4
13125148cc47aa
14749c4b3d804
153a2e967544a
hex1ee11a7514c

2122010022220 has 96 divisors (see below), whose sum is σ = 4918213230336. Its totient is φ = 762638496000.

The previous prime is 2122010022179. The next prime is 2122010022329. The reversal of 2122010022220 is 222200102212.

It is a junction number, because it is equal to n+sod(n) for n = 2122010022194 and 2122010022203.

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, 12425047 + ... + 12594673.

It is an arithmetic number, because the mean of its divisors is an integer number (51231387816).

Almost surely, 22122010022220 is an apocalyptic number.

2122010022220 is a gapful number since it is divisible by the number (20) 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 2122010022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459106615168).

2122010022220 is an abundant number, since it is smaller than the sum of its proper divisors (2796203208116).

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

2122010022220 is a wasteful number, since it uses less digits than its factorization.

2122010022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170311 (or 170309 counting only the distinct ones).

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

Adding to 2122010022220 its reverse (222200102212), we get a palindrome (2344210124432).

The spelling of 2122010022220 in words is "two trillion, one hundred twenty-two billion, ten million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 563 1010 1111 1126 2020 2222 2252 2815 4444 5555 5630 6193 11110 11260 12386 22220 24772 30965 56863 61930 113726 123860 169627 227452 284315 339254 568630 625493 678508 848135 1137260 1250986 1696270 1865897 2501972 3127465 3392540 3731794 6254930 7463588 9329485 12509860 17132327 18658970 34264654 37317940 68529308 85661635 95500001 171323270 188455597 191000002 342646540 376911194 382000004 477500005 753822388 942277985 955000010 1050500011 1884555970 1910000020 2101000022 3769111940 4202000044 5252500055 9645500101 10505000110 19291000202 21010000220 38582000404 48227500505 96455001010 106100501111 192910002020 212201002222 424402004444 530502505555 1061005011110 2122010022220