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22122112120122 = 2372921036080567
BaseRepresentation
bin1010000011110101101001…
…01000100111010100111010
32220022212001000210210020110
411001322310220213110322
510344422041200320442
6115014431421405150
74442161363305660
oct501726450472472
986285030723213
1022122112120122
117059a3162a063
1225934b67097b6
13c4614c4a4b91
14566a04776c30
152856a847769c
hex141eb4a2753a

22122112120122 has 96 divisors (see below), whose sum is σ = 52877008484352. Its totient is φ = 6043401580608.

The previous prime is 22122112120001. The next prime is 22122112120123. The reversal of 22122112120122 is 22102121122122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (22122112120123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597883 + ... + 6678449.

It is an arithmetic number, because the mean of its divisors is an integer number (550802171712).

Almost surely, 222122112120122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122112120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438504242176).

22122112120122 is an abundant number, since it is smaller than the sum of its proper divisors (30754896364230).

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

22122112120122 is a wasteful number, since it uses less digits than its factorization.

22122112120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080740 (or 6080711 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 22122112120122 its reverse (22102121122122), we get a palindrome (44224233242244).

The spelling of 22122112120122 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 103 174 203 206 309 406 609 618 721 841 1218 1442 1682 2163 2523 2987 4326 5046 5887 5974 8961 11774 17661 17922 20909 35322 41818 62727 86623 125454 173246 259869 519738 606361 1212722 1819083 3638166 6080567 12161134 18241701 36483402 42563969 85127938 127691907 176336443 255383814 352672886 529009329 626298401 1058018658 1234355101 1252596802 1878895203 2468710202 3703065303 3757790406 4384088807 5113756847 7406130606 8768177614 10227513694 13152266421 15341270541 18162653629 26304532842 30682541082 35796297929 36325307258 54487960887 71592595858 107388893787 108975921774 127138575403 214777787574 254277150806 381415726209 526716955241 762831452418 1053433910482 1580150865723 3160301731446 3687018686687 7374037373374 11061056060061 22122112120122