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222021111212120 = 235115376391246319
BaseRepresentation
bin110010011110110101010001…
…011101110110100001011000
31002010010000021222102002220102
4302132311101131312201120
5213100043213432241440
62104111031311114532
764523332052233043
oct6236652135664130
91063100258362812
10222021111212120
1164819696223310
1220a99218b12a48
1396b6668789a6c
143cb7c44433c5a
151aa042a4bbb15
hexc9ed51776858

222021111212120 has 128 divisors (see below), whose sum is σ = 555316321536000. Its totient is φ = 79201215674880.

The previous prime is 222021111212107. The next prime is 222021111212189. The reversal of 222021111212120 is 21212111120222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222021111212092 and 222021111212101.

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, 177518321 + ... + 178764639.

It is an arithmetic number, because the mean of its divisors is an integer number (4338408762000).

Almost surely, 2222021111212120 is an apocalyptic number.

222021111212120 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 222021111212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277658160768000).

222021111212120 is an abundant number, since it is smaller than the sum of its proper divisors (333295210323880).

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

222021111212120 is a wasteful number, since it uses less digits than its factorization.

222021111212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254033 (or 1254029 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 222021111212120 its reverse (21212111120222), we get a palindrome (243233222332342).

The spelling of 222021111212120 in words is "two hundred twenty-two trillion, twenty-one billion, one hundred eleven million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 212 220 265 424 440 530 583 1060 1166 2120 2332 2915 4664 5830 7639 11660 15278 23320 30556 38195 61112 76390 84029 152780 168058 305560 336116 404867 420145 672232 809734 840290 1246319 1619468 1680580 2024335 2492638 3238936 3361160 4048670 4453537 4985276 6231595 8097340 8907074 9970552 12463190 13709509 16194680 17814148 22267685 24926380 27419018 35628296 44535370 49852760 54838036 66054907 68547545 89070740 109676072 132109814 137095090 178141480 264219628 274190180 330274535 528439256 548380360 660549070 726603977 1321098140 1453207954 2642196280 2906415908 3633019885 5812831816 7266039770 9520630841 14532079540 19041261682 29064159080 38082523364 47603154205 76165046728 95206308410 104726939251 190412616820 209453878502 380825233640 418907757004 504593434573 523634696255 837815514008 1009186869146 1047269392510 2018373738292 2094538785020 2522967172865 4036747476584 4189077570040 5045934345730 5550527780303 10091868691460 11101055560606 20183737382920 22202111121212 27752638901515 44404222242424 55505277803030 111010555606060 222021111212120