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2112124412120 = 2352923333123609
BaseRepresentation
bin11110101111000100011…
…011001110000011011000
321110220202120201010220112
4132233010123032003120
5234101112322141440
64254144020143452
7305411261165612
oct36570433160330
97426676633815
102112124412120
11744824193198
122a1416237b88
13124231c18868
1474327c75db2
1539e1b860965
hex1ebc46ce0d8

2112124412120 has 128 divisors (see below), whose sum is σ = 4952376936000. Its totient is φ = 809727959040.

The previous prime is 2112124412093. The next prime is 2112124412131. The reversal of 2112124412120 is 212144212112.

It is a super-2 number, since 2×21121244121202 (a number of 25 digits) contains 22 as substring.

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, 89450876 + ... + 89474484.

Almost surely, 22112124412120 is an apocalyptic number.

2112124412120 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 2112124412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476188468000).

2112124412120 is an abundant number, since it is smaller than the sum of its proper divisors (2840252523880).

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

2112124412120 is a wasteful number, since it uses less digits than its factorization.

2112124412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24213 (or 24209 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 2112124412120 its reverse (212144212112), we get a palindrome (2324268624232).

The spelling of 2112124412120 in words is "two trillion, one hundred twelve billion, one hundred twenty-four million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 233 290 331 466 580 662 932 1160 1165 1324 1655 1864 2330 2648 3310 4660 6620 6757 9320 9599 13240 13514 19198 23609 27028 33785 38396 47218 47995 54056 67570 76792 77123 94436 95990 118045 135140 154246 188872 191980 236090 270280 308492 383960 385615 472180 616984 684661 771230 944360 1369322 1542460 2236567 2738644 3084920 3423305 4473134 5477288 5500897 6846610 7814579 8946268 11001794 11182835 13693220 15629158 17892536 22003588 22365670 27386440 27504485 31258316 39072895 44007176 44731340 55008970 62516632 78145790 89462680 110017940 156291580 159526013 220035880 226622791 312583160 319052026 453245582 638104052 797630065 906491164 1133113955 1276208104 1595260130 1812982328 1820796907 2266227910 3190520260 3641593814 4532455820 6381040520 7283187628 9064911640 9103984535 14566375256 18207969070 36415938140 52803110303 72831876280 105606220606 211212441212 264015551515 422424882424 528031103030 1056062206060 2112124412120