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22121012032020 = 223251111172228299
BaseRepresentation
bin1010000011110011100110…
…00100000111001000010100
32220022202012100210112001200
411001321303010013020110
510344412313040011040
6115014130322552500
74442122204565016
oct501716304071024
986282170715050
1022121012032020
117059517664640
12259324a208730
13c460055c3085
1456693c6141b6
15285641ac5630
hex141e73107214

22121012032020 has 72 divisors (see below), whose sum is σ = 73200439821600. Its totient is φ = 5362669583040.

The previous prime is 22121012032003. The next prime is 22121012032033. The reversal of 22121012032020 is 2023021012122.

22121012032020 is a `hidden beast` number, since 2 + 212 + 10 + 120 + 320 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22121012031984 and 22121012032002.

It is a congruent number.

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, 5586112170 + ... + 5586116129.

It is an arithmetic number, because the mean of its divisors is an integer number (1016672775300).

Almost surely, 222121012032020 is an apocalyptic number.

22121012032020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121012032020 is an abundant number, since it is smaller than the sum of its proper divisors (51079427789580).

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

22121012032020 is a wasteful number, since it uses less digits than its factorization.

22121012032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11172228325 (or 11172228320 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22121012032020 its reverse (2023021012122), we get a palindrome (24144033044142).

The spelling of 22121012032020 in words is "twenty-two trillion, one hundred twenty-one billion, twelve million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 11172228299 22344456598 33516684897 44688913196 55861141495 67033369794 100550054691 111722282990 122894511289 134066739588 167583424485 201100109382 223444565980 245789022578 335166848970 368683533867 402200218764 491578045156 502750273455 614472556445 670333697940 737367067734 1005500546910 1106050601601 1228945112890 1474734135468 1843417669335 2011001093820 2212101203202 2457890225780 3686835338670 4424202406404 5530253008005 7373670677340 11060506016010 22121012032020