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12311321031120 = 24352310312163251
BaseRepresentation
bin1011001100100111001111…
…1010101011000111010000
31121120221200010112002200110
42303021303322223013100
53103202041140443440
642103424240121320
72410315004062446
oct263116372530720
947527603462613
1012311321031120
113a17224848371
12146a024606240
136b3c4cac8477
14307c2a4bab96
151653a4434080
hexb3273eab1d0

12311321031120 has 160 divisors (see below), whose sum is σ = 39863092598784. Its totient is φ = 3137231680000.

The previous prime is 12311321031091. The next prime is 12311321031133. The reversal of 12311321031120 is 2113012311321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4609495 + ... + 6772745.

Almost surely, 212311321031120 is an apocalyptic number.

12311321031120 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 12311321031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19931546299392).

12311321031120 is an abundant number, since it is smaller than the sum of its proper divisors (27551771567664).

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

12311321031120 is a wasteful number, since it uses less digits than its factorization.

12311321031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164321 (or 2164315 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12311321031120 its reverse (2113012311321), we get a palindrome (14424333342441).

The spelling of 12311321031120 in words is "twelve trillion, three hundred eleven billion, three hundred twenty-one million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1031 1104 1380 1840 2062 2760 3093 4124 5155 5520 6186 8248 10310 12372 15465 16496 20620 23713 24744 30930 41240 47426 49488 61860 71139 82480 94852 118565 123720 142278 189704 237130 247440 284556 355695 379408 474260 569112 711390 948520 1138224 1422780 1897040 2163251 2845560 4326502 5691120 6489753 8653004 10816255 12979506 17306008 21632510 25959012 32448765 34612016 43265020 49754773 51918024 64897530 86530040 99509546 103836048 129795060 149264319 173060080 199019092 248773865 259590120 298528638 398038184 497547730 519180240 597057276 746321595 796076368 995095460 1194114552 1492643190 1990190920 2230311781 2388229104 2985286380 3980381840 4460623562 5970572760 6690935343 8921247124 11151558905 11941145520 13381870686 17842494248 22303117810 26763741372 33454676715 35684988496 44606235620 51297170963 53527482744 66909353430 89212471240 102594341926 107054965488 133818706860 153891512889 178424942480 205188683852 256485854815 267637413720 307783025778 410377367704 512971709630 535274827440 615566051556 769457564445 820754735408 1025943419260 1231132103112 1538915128890 2051886838520 2462264206224 3077830257780 4103773677040 6155660515560 12311321031120