Search a number
-
+
1121110012120 = 235713746163397
BaseRepresentation
bin10000010100000111010…
…111010011000011011000
310222011210002021111100111
4100110013113103003120
5121332013130341440
62215010354214104
7143666102604250
oct20240727230330
93864702244314
101121110012120
113a25074135aa
12161341584334
138194942aac7
143c394d76960
151e268dce4ea
hex105075d30d8

1121110012120 has 128 divisors (see below), whose sum is σ = 2910242079360. Its totient is φ = 380741160960.

The previous prime is 1121110012079. The next prime is 1121110012151. The reversal of 1121110012120 is 212100111211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1121110012120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17652262 + ... + 17715658.

It is an arithmetic number, because the mean of its divisors is an integer number (22736266245).

Almost surely, 21121110012120 is an apocalyptic number.

1121110012120 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 1121110012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455121039680).

1121110012120 is an abundant number, since it is smaller than the sum of its proper divisors (1789132067240).

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

1121110012120 is a wasteful number, since it uses less digits than its factorization.

1121110012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64013 (or 64009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1121110012120 its reverse (212100111211), we get a palindrome (1333210123331).

Subtracting from 1121110012120 its reverse (212100111211), we obtain a palindrome (909009900909).

The spelling of 1121110012120 in words is "one trillion, one hundred twenty-one billion, one hundred ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 137 140 274 280 461 548 685 922 959 1096 1370 1844 1918 2305 2740 3227 3688 3836 4610 4795 5480 6454 7672 9220 9590 12908 16135 18440 19180 25816 32270 38360 63157 63397 64540 126314 126794 129080 252628 253588 315785 316985 442099 443779 505256 507176 631570 633970 884198 887558 1263140 1267940 1768396 1775116 2210495 2218895 2526280 2535880 3536792 3550232 4420990 4437790 8685389 8841980 8875580 17370778 17683960 17751160 29226017 34741556 43426945 58452034 60797723 69483112 86853890 116904068 121595446 146130085 173707780 204582119 233808136 243190892 292260170 303988615 347415560 409164238 486381784 584520340 607977230 818328476 1022910595 1169040680 1215954460 1636656952 2045821190 2431908920 4003964329 4091642380 8007928658 8183284760 16015857316 20019821645 28027750303 32031714632 40039643290 56055500606 80079286580 112111001212 140138751515 160158573160 224222002424 280277503030 560555006060 1121110012120