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222112102012000 = 2553138140208563
BaseRepresentation
bin110010100000001010000000…
…111100001101010001100000
31002010102201011021122122221121
4302200022000330031101200
5213103041041103341000
62104220520243502024
764533032642252014
oct6240120074152140
91063381137578847
10222112102012000
1164854239153a82
1220ab2991687914
1396c2109947755
143cbc3d6b66544
151aa29a380db1a
hexca0280f0d460

222112102012000 has 96 divisors (see below), whose sum is σ = 546124617982944. Its totient is φ = 88780504896000.

The previous prime is 222112102011983. The next prime is 222112102012019. The reversal of 222112102012000 is 210201211222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 14580282 + ... + 25628281.

It is an arithmetic number, because the mean of its divisors is an integer number (5688798103989).

Almost surely, 2222112102012000 is an apocalyptic number.

222112102012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222112102012000 is an abundant number, since it is smaller than the sum of its proper divisors (324012515970944).

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

222112102012000 is a wasteful number, since it uses less digits than its factorization.

222112102012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40209969 (or 40209951 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222112102012000 its reverse (210201211222), we get a palindrome (222322303223222).

The spelling of 222112102012000 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred two million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1381 2000 2762 4000 5524 6905 11048 13810 22096 27620 34525 44192 55240 69050 110480 138100 172625 220960 276200 345250 552400 690500 1104800 1381000 2762000 5524000 40208563 80417126 160834252 201042815 321668504 402085630 643337008 804171260 1005214075 1286674016 1608342520 2010428150 3216685040 4020856300 5026070375 6433370080 8041712600 10052140750 16083425200 20104281500 32166850400 40208563000 55528025503 80417126000 111056051006 160834252000 222112102012 277640127515 444224204024 555280255030 888448408048 1110560510060 1388200637575 1776896816096 2221121020120 2776401275150 4442242040240 5552802550300 6941003187875 8884484080480 11105605100600 13882006375750 22211210201200 27764012751500 44422420402400 55528025503000 111056051006000 222112102012000