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2112002221120 = 26511782376697
BaseRepresentation
bin11110101110111101001…
…001000110010001000000
321110220110001210012100221
4132232331021012101000
5234100340032033440
64254123533152424
7305405245450621
oct36567511062100
97426401705327
102112002221120
117447712152a0
122a13a132b714
131242128055ac
1474315949a48
1539e10c75d4a
hex1ebbd246440

2112002221120 has 112 divisors (see below), whose sum is σ = 5487178629888. Its totient is φ = 767892623360.

The previous prime is 2112002221111. The next prime is 2112002221183. The reversal of 2112002221120 is 211222002112.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2112002221094 and 2112002221103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27498612 + ... + 27575308.

Almost surely, 22112002221120 is an apocalyptic number.

2112002221120 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 2112002221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743589314944).

2112002221120 is an abundant number, since it is smaller than the sum of its proper divisors (3375176408768).

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

2112002221120 is a wasteful number, since it uses less digits than its factorization.

2112002221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84548 (or 84538 counting only the distinct ones).

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

Adding to 2112002221120 its reverse (211222002112), we get a palindrome (2323224223232).

The spelling of 2112002221120 in words is "two trillion, one hundred twelve billion, two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 7823 15646 31292 39115 62584 76697 78230 86053 125168 153394 156460 172106 250336 306788 312920 344212 383485 430265 500672 613576 625840 688424 766970 843667 860530 1227152 1251680 1376848 1533940 1687334 1721060 2454304 2503360 2753696 3067880 3374668 3442120 4218335 4908608 5507392 6135760 6749336 6884240 8436670 12271520 13498672 13768480 16873340 24543040 26997344 27536960 33746680 53994688 67493360 134986720 269973440 600000631 1200001262 2400002524 3000003155 4800005048 6000006310 6600006941 9600010096 12000012620 13200013882 19200020192 24000025240 26400027764 33000034705 38400040384 48000050480 52800055528 66000069410 96000100960 105600111056 132000138820 192000201920 211200222112 264000277640 422400444224 528000555280 1056001110560 2112002221120