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1121111320120 = 2351123433255847
BaseRepresentation
bin10000010100000111011…
…100010010011000111000
310222011210011201221120221
4100110013130102120320
5121332013444220440
62215010442225424
7143666116662541
oct20240734223070
93864704657527
101121111320120
113a25081272a0
12161341ab5274
138194979827c
143c3951d74c8
151e26908bd4a
hex10507712638

1121111320120 has 128 divisors (see below), whose sum is σ = 2878105789440. Its totient is φ = 389049661440.

The previous prime is 1121111320057. The next prime is 1121111320127. The reversal of 1121111320120 is 210231111211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1121111320094 and 1121111320103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121111320127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4254037 + ... + 4509883.

It is an arithmetic number, because the mean of its divisors is an integer number (22485201480).

Almost surely, 21121111320120 is an apocalyptic number.

1121111320120 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 1121111320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439052894720).

1121111320120 is an abundant number, since it is smaller than the sum of its proper divisors (1756994469320).

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

1121111320120 is a wasteful number, since it uses less digits than its factorization.

1121111320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256325 (or 256321 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1121111320120 its reverse (210231111211), we get a palindrome (1331342431331).

The spelling of 1121111320120 in words is "one trillion, one hundred twenty-one billion, one hundred eleven million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 433 440 460 506 866 920 1012 1265 1732 2024 2165 2530 3464 4330 4763 5060 8660 9526 9959 10120 17320 19052 19918 23815 38104 39836 47630 49795 79672 95260 99590 109549 190520 199180 219098 255847 398360 438196 511694 547745 876392 1023388 1095490 1279235 2046776 2190980 2558470 2814317 4381960 5116940 5628634 5884481 10233880 11257268 11768962 14071585 22514536 23537924 28143170 29422405 47075848 56286340 58844810 64729291 110781751 112572680 117689620 129458582 221563502 235379240 258917164 323646455 443127004 517834328 553908755 647292910 886254008 1107817510 1218599261 1294585820 2215635020 2437198522 2547980273 2589171640 4431270040 4874397044 5095960546 6092996305 9748794088 10191921092 12185992610 12739901365 20383842184 24371985220 25479802730 28027783003 48743970440 50959605460 56055566006 101919210920 112111132012 140138915015 224222264024 280277830030 560555660060 1121111320120