Search a number
-
+
1211220788688 = 243271142982903
BaseRepresentation
bin10001101000000010011…
…000101000010111010000
311021210101001121020100200
4101220002120220113100
5124321040010214223
62324232133015200
7153336115555461
oct21500230502720
94253331536320
101211220788688
11427748616779
121768ab484500
138a2aa197a41
14428a286cd68
152178ed3da43
hex11a026285d0

1211220788688 has 120 divisors (see below), whose sum is σ = 3439925723520. Its totient is φ = 397770428160.

The previous prime is 1211220788663. The next prime is 1211220788693. The reversal of 1211220788688 is 8868870221121.

It is a happy number.

It is a super-2 number, since 2×12112207886882 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14568645 + ... + 14651547.

It is an arithmetic number, because the mean of its divisors is an integer number (28666047696).

Almost surely, 21211220788688 is an apocalyptic number.

1211220788688 is a gapful number since it is divisible by the number (18) 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 1211220788688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719962861760).

1211220788688 is an abundant number, since it is smaller than the sum of its proper divisors (2228704934832).

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

1211220788688 is a wasteful number, since it uses less digits than its factorization.

1211220788688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84417 (or 84408 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 1211220788688 in words is "one trillion, two hundred eleven billion, two hundred twenty million, seven hundred eighty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1429 1704 2556 2858 3408 4287 5112 5716 8574 10224 11432 12861 17148 22864 25722 34296 51444 68592 82903 101459 102888 165806 202918 205776 248709 304377 331612 405836 497418 608754 663224 746127 811672 913131 994836 1217508 1326448 1492254 1623344 1826262 1989672 2435016 2984508 3652524 3979344 4870032 5886113 5969016 7305048 11772226 11938032 14610096 17658339 23544452 35316678 47088904 52975017 70633356 94177808 105950034 118468387 141266712 211900068 236936774 282533424 355405161 423800136 473873548 710810322 847600272 947747096 1066215483 1421620644 1895494192 2132430966 2843241288 4264861932 5686482576 8411255477 8529723864 16822510954 17059447728 25233766431 33645021908 50467532862 67290043816 75701299293 100935065724 134580087632 151402598586 201870131448 302805197172 403740262896 605610394344 1211220788688