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1232112311320 = 235114773816163
BaseRepresentation
bin10001111011011111100…
…111011101110000011000
311100210022000200112202011
4101323133213131300120
5130141331222430240
62342005150515304
7155005614562642
oct21733747356030
94323260615664
101232112311320
11435599307960
1217a95bb05b34
138c25948b557
14438c5305892
15220b3eae6ea
hex11edf9ddc18

1232112311320 has 128 divisors (see below), whose sum is σ = 3130935690240. Its totient is φ = 432500567040.

The previous prime is 1232112311317. The next prime is 1232112311363. The reversal of 1232112311320 is 231132112321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1232112311291 and 1232112311300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101559 + ... + 1917721.

It is an arithmetic number, because the mean of its divisors is an integer number (24460435080).

Almost surely, 21232112311320 is an apocalyptic number.

1232112311320 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 1232112311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565467845120).

1232112311320 is an abundant number, since it is smaller than the sum of its proper divisors (1898823378920).

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

1232112311320 is a wasteful number, since it uses less digits than its factorization.

1232112311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816305 (or 816301 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1232112311320 its reverse (231132112321), we get a palindrome (1463244423641).

The spelling of 1232112311320 in words is "one trillion, two hundred thirty-two billion, one hundred twelve million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 73 88 94 110 146 188 220 235 292 365 376 440 470 517 584 730 803 940 1034 1460 1606 1880 2068 2585 2920 3212 3431 4015 4136 5170 6424 6862 8030 10340 13724 16060 17155 20680 27448 32120 34310 37741 68620 75482 137240 150964 188705 301928 377410 754820 816163 1509640 1632326 3264652 4080815 6529304 8161630 8977793 16323260 17955586 32646520 35911172 38359661 44888965 59579899 71822344 76719322 89777930 119159798 153438644 179555860 191798305 238319596 297899495 306877288 359111720 383596610 421956271 476639192 595798990 655378889 767193220 843912542 1191597980 1310757778 1534386440 1687825084 2109781355 2383195960 2621515556 2800255253 3276894445 3375650168 4219562710 5243031112 5600510506 6553788890 8439125420 11201021012 13107577780 14001276265 16878250840 22402042024 26215155560 28002552530 30802807783 56005105060 61605615566 112010210120 123211231132 154014038915 246422462264 308028077830 616056155660 1232112311320