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1210011001120 = 25529614275053
BaseRepresentation
bin10001100110111010010…
…001101010000100100000
311021200020202011122210201
4101212322101222010200
5124311100304013440
62323512115034544
7153264125544145
oct21467221520440
94250222148721
101210011001120
11427187735439
1217661229ba54
138a1466575cc
14427c9d123cc
152171da1d19a
hex119ba46a120

1210011001120 has 96 divisors (see below), whose sum is σ = 3005704966320. Its totient is φ = 459653591040.

The previous prime is 1210011001097. The next prime is 1210011001159. The reversal of 1210011001120 is 211001100121.

It can be written as a sum of positive squares in 8 ways, for example, as 135745086096 + 1074265915024 = 368436^2 + 1036468^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1210011001097 and 1210011001106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1854487 + ... + 2420566.

Almost surely, 21210011001120 is an apocalyptic number.

1210011001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1210011001120 is an abundant number, since it is smaller than the sum of its proper divisors (1795693965200).

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

1210011001120 is a wasteful number, since it uses less digits than its factorization.

1210011001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275158 (or 4275150 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1210011001120 its reverse (211001100121), we get a palindrome (1421012101241).

Subtracting from 1210011001120 its reverse (211001100121), we obtain a palindrome (999009900999).

The spelling of 1210011001120 in words is "one trillion, two hundred ten billion, eleven million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 61 80 116 122 145 160 232 244 290 305 464 488 580 610 928 976 1160 1220 1769 1952 2320 2440 3538 4640 4880 7076 8845 9760 14152 17690 28304 35380 56608 70760 141520 283040 4275053 8550106 17100212 21375265 34200424 42750530 68400848 85501060 123976537 136801696 171002120 247953074 260778233 342004240 495906148 521556466 619882685 684008480 991812296 1043112932 1239765370 1303891165 1983624592 2086225864 2479530740 2607782330 3967249184 4172451728 4959061480 5215564660 7562568757 8344903456 9918122960 10431129320 15125137514 19836245920 20862258640 30250275028 37812843785 41724517280 60500550056 75625687570 121001100112 151251375140 242002200224 302502750280 605005500560 1210011001120