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22121012001020 = 22517367409343313
BaseRepresentation
bin1010000011110011100110…
…00011111111100011111100
32220022202012100201221112112
411001321303003333203330
510344412313033013040
6115014130322153152
74442122204405442
oct501716303774374
986282170657475
1022121012001020
117059517643319
12259324a1b27b8
13c460055b1c2a
1456693c606b92
15285641abb365
hex141e730ff8fc

22121012001020 has 96 divisors (see below), whose sum is σ = 49333933571328. Its totient is φ = 8302997716992.

The previous prime is 22121012001019. The next prime is 22121012001043. The reversal of 22121012001020 is 2010021012122.

It is a junction number, because it is equal to n+sod(n) for n = 22121012000986 and 22121012001004.

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, 510702884 + ... + 510746196.

It is an arithmetic number, because the mean of its divisors is an integer number (513895141368).

Almost surely, 222121012001020 is an apocalyptic number.

22121012001020 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 22121012001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24666966785664).

22121012001020 is an abundant number, since it is smaller than the sum of its proper divisors (27212921570308).

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

22121012001020 is a wasteful number, since it uses less digits than its factorization.

22121012001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47799 (or 47797 counting only the distinct ones).

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

Adding to 22121012001020 its reverse (2010021012122), we get a palindrome (24131033013142).

The spelling of 22121012001020 in words is "twenty-two trillion, one hundred twenty-one billion, twelve million, one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 367 734 1468 1835 3670 4093 6239 7340 8186 12478 16372 20465 24956 31195 40930 43313 62390 69581 81860 86626 124780 139162 173252 216565 278324 347905 433130 695810 736321 866260 1391620 1472642 1502131 2945284 3004262 3681605 6008524 7363210 7510655 14726420 15021310 15895871 25536227 30042620 31791742 51072454 63583484 79479355 102144908 127681135 158958710 177280109 255362270 270229807 317917420 354560218 510724540 540459614 709120436 886400545 1080919228 1351149035 1772801090 2702298070 3013761853 3545602180 5404596140 6027523706 12055047412 15068809265 30137618530 60275237060 65061800003 130123600006 260247200012 325309000015 650618000030 1106050600051 1301236000060 2212101200102 4424202400204 5530253000255 11060506000510 22121012001020