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1121200011120 = 24357295340137
BaseRepresentation
bin10000010100001100101…
…110100111011101110000
310222012000100121220202210
4100110030232213131300
5121332204200323440
62215023331212120
7144001244564100
oct20241456473560
93865010556683
101121200011120
113a25531a4142
12161367747040
1381961c7c457
143c3a2cc3200
151e271c5aa80
hex1050cba7770

1121200011120 has 120 divisors (see below), whose sum is σ = 4043184572304. Its totient is φ = 256274285568.

The previous prime is 1121200011091. The next prime is 1121200011137. The reversal of 1121200011120 is 211100021211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1121200011096 and 1121200011105.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 47658309 + ... + 47681828.

Almost surely, 21121200011120 is an apocalyptic number.

1121200011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121200011120 is an abundant number, since it is smaller than the sum of its proper divisors (2921984561184).

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

1121200011120 is a wasteful number, since it uses less digits than its factorization.

1121200011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95340167 (or 95340154 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1121200011120 its reverse (211100021211), we get a palindrome (1332300032331).

The spelling of 1121200011120 in words is "one trillion, one hundred twenty-one billion, two hundred million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 95340137 190680274 286020411 381360548 476700685 572040822 667380959 762721096 953401370 1144081644 1334761918 1430102055 1525442192 1906802740 2002142877 2288163288 2669523836 2860204110 3336904795 3813605480 4004285754 4576326576 4671666713 5339047672 5720408220 6673809590 7627210960 8008571508 9343333426 10010714385 10678095344 11440816440 13347619180 14015000139 16017143016 18686666852 20021428770 22881632880 23358333565 26695238360 28030000278 32034286032 37373333704 40042857540 46716667130 53390476720 56060000556 70075000695 74746667408 80085715080 93433334260 112120001112 140150001390 160171430160 186866668520 224240002224 280300002780 373733337040 560600005560 1121200011120