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1121100120120 = 2335191493300071
BaseRepresentation
bin10000010100000110110…
…001100100000000111000
310222011202101122221002010
4100110012301210000320
5121332003112320440
62215005402205520
7143665622534511
oct20240661440070
93864671587063
101121100120120
113a25018775a2
1216133a1b38a0
1381947376456
143c39391da08
151e2680c8580
hex10506c64038

1121100120120 has 128 divisors (see below), whose sum is σ = 3564077760000. Its totient is φ = 281324367360.

The previous prime is 1121100120083. The next prime is 1121100120121. The reversal of 1121100120120 is 210210011211.

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 = 1121100120096 and 1121100120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121100120121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310316 + ... + 1989755.

It is an arithmetic number, because the mean of its divisors is an integer number (27844357500).

Almost surely, 21121100120120 is an apocalyptic number.

1121100120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121100120120 is an abundant number, since it is smaller than the sum of its proper divisors (2442977639880).

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

1121100120120 is a wasteful number, since it uses less digits than its factorization.

1121100120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300253 (or 3300249 counting only the distinct ones).

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

Adding to 1121100120120 its reverse (210210011211), we get a palindrome (1331310131331).

The spelling of 1121100120120 in words is "one trillion, one hundred twenty-one billion, one hundred million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 149 152 190 228 285 298 380 447 456 570 596 745 760 894 1140 1192 1490 1788 2235 2280 2831 2980 3576 4470 5662 5960 8493 8940 11324 14155 16986 17880 22648 28310 33972 42465 56620 67944 84930 113240 169860 339720 3300071 6600142 9900213 13200284 16500355 19800426 26400568 33000710 39600852 49501065 62701349 66001420 79201704 99002130 125402698 132002840 188104047 198004260 250805396 313506745 376208094 396008520 491710579 501610792 627013490 752416188 940520235 983421158 1254026980 1475131737 1504832376 1881040470 1966842316 2458552895 2508053960 2950263474 3762080940 3933684632 4917105790 5900526948 7375658685 7524161880 9342501001 9834211580 11801053896 14751317370 18685002002 19668423160 28027503003 29502634740 37370004004 46712505005 56055006006 59005269480 74740008008 93425010010 112110012012 140137515015 186850020020 224220024024 280275030030 373700040040 560550060060 1121100120120