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1112123100120 = 2335181331154691
BaseRepresentation
bin10000001011101111101…
…100111100101111011000
310221022120202211001200220
4100023233230330233120
5121210112003200440
62210522521400040
7143230306243524
oct20135754745730
93838522731626
101112123100120
113997155515aa
1215b653939020
1380b465b0ab6
143bb815aad84
151dddee3a8d0
hex102efb3cbd8

1112123100120 has 128 divisors (see below), whose sum is σ = 3364959386880. Its totient is φ = 294034752000.

The previous prime is 1112123100059. The next prime is 1112123100133. The reversal of 1112123100120 is 210013212111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1112123100120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7111975 + ... + 7266665.

It is an arithmetic number, because the mean of its divisors is an integer number (26288745210).

Almost surely, 21112123100120 is an apocalyptic number.

1112123100120 is a gapful number since it is divisible by the number (10) 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 1112123100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682479693440).

1112123100120 is an abundant number, since it is smaller than the sum of its proper divisors (2252836286760).

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

1112123100120 is a wasteful number, since it uses less digits than its factorization.

1112123100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155217 (or 155213 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1112123100120 its reverse (210013212111), we get a palindrome (1322136312231).

The spelling of 1112123100120 in words is "one trillion, one hundred twelve billion, one hundred twenty-three million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 181 331 362 543 662 724 905 993 1086 1324 1448 1655 1810 1986 2172 2648 2715 3310 3620 3972 4344 4965 5430 6620 7240 7944 9930 10860 13240 19860 21720 39720 59911 119822 154691 179733 239644 299555 309382 359466 464073 479288 599110 618764 718932 773455 898665 928146 1198220 1237528 1437864 1546910 1797330 1856292 2320365 2396440 3093820 3594660 3712584 4640730 6187640 7189320 9281460 18562920 27999071 51202721 55998142 83997213 102405442 111996284 139995355 153608163 167994426 204810884 223992568 256013605 279990710 307216326 335988852 409621768 419986065 512027210 559981420 614432652 671977704 768040815 839972130 1024054420 1119962840 1228865304 1536081630 1679944260 2048108840 3072163260 3359888520 6144326520 9267692501 18535385002 27803077503 37070770004 46338462505 55606155006 74141540008 92676925010 111212310012 139015387515 185353850020 222424620024 278030775030 370707700040 556061550060 1112123100120