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1220110022112 = 253113449325033
BaseRepresentation
bin10001110000010100001…
…110010111010111100000
311022122022120021002012020
4101300110032113113200
5124442241131201422
62332302200101440
7154102315033062
oct21602416272740
94278276232166
101220110022112
1143049a332383
12178570464880
138b095a04a87
14430a728d732
1521b1043a95c
hex11c143975e0

1220110022112 has 96 divisors (see below), whose sum is σ = 3231980323488. Its totient is φ = 402998378496.

The previous prime is 1220110022099. The next prime is 1220110022177. The reversal of 1220110022112 is 2112200110221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1220110022091 and 1220110022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48727548 + ... + 48752580.

It is an arithmetic number, because the mean of its divisors is an integer number (33666461703).

Almost surely, 21220110022112 is an apocalyptic number.

1220110022112 is a gapful number since it is divisible by the number (12) 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 1220110022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615990161744).

1220110022112 is an abundant number, since it is smaller than the sum of its proper divisors (2011870301376).

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

1220110022112 is a wasteful number, since it uses less digits than its factorization.

1220110022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29652 (or 29644 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1220110022112 its reverse (2112200110221), we get a palindrome (3332310132333).

The spelling of 1220110022112 in words is "one trillion, two hundred twenty billion, one hundred ten million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 4493 5424 8986 10848 13479 17972 25033 26958 35944 50066 53916 71888 75099 100132 107832 143776 150198 200264 215664 300396 400528 431328 507709 600792 801056 1015418 1201584 1523127 2030836 2403168 2828729 3046254 4061672 5657458 6092508 8123344 8486187 11314916 12185016 16246688 16972374 22629832 24370032 33944748 45259664 48740064 67889496 90519328 112473269 135778992 224946538 271557984 337419807 449893076 674839614 899786152 1349679228 1799572304 2699358456 3599144608 5398716912 10797433824 12709479397 25418958794 38128438191 50837917588 76256876382 101675835176 152513752764 203351670352 305027505528 406703340704 610055011056 1220110022112