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121311130320 = 24325563929879
BaseRepresentation
bin111000011111010110…
…1001111001011010000
3102121010101021221011200
41300332231033023100
53441421122132240
6131421330311200
711523126410532
oct1607655171320
9377111257150
10121311130320
11474a1a747a6
121b616a28500
13b593a1b523
145c2b523852
153250143930
hex1c3eb4f2d0

121311130320 has 120 divisors (see below), whose sum is σ = 407489097600. Its totient is φ = 32342815488.

The previous prime is 121311130279. The next prime is 121311130387. The reversal of 121311130320 is 23031113121.

121311130320 is a `hidden beast` number, since 1 + 2 + 1 + 311 + 1 + 30 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121311130293 and 121311130302.

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, 4045141 + ... + 4075019.

It is an arithmetic number, because the mean of its divisors is an integer number (3395742480).

Almost surely, 2121311130320 is an apocalyptic number.

121311130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121311130320 is an abundant number, since it is smaller than the sum of its proper divisors (286177967280).

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

121311130320 is a wasteful number, since it uses less digits than its factorization.

121311130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35537 (or 35528 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121311130320 its reverse (23031113121), we get a palindrome (144342243441).

The spelling of 121311130320 in words is "one hundred twenty-one billion, three hundred eleven million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5639 11278 16917 22556 28195 29879 33834 45112 50751 56390 59758 67668 84585 89637 90224 101502 112780 119516 135336 149395 169170 179274 203004 225560 239032 253755 268911 270672 298790 338340 358548 406008 448185 451120 478064 507510 537822 597580 676680 717096 812016 896370 1015020 1075644 1195160 1344555 1353360 1434192 1792740 2030040 2151288 2390320 2689110 3585480 4060080 4302576 5378220 7170960 10756440 21512880 168487681 336975362 505463043 673950724 842438405 1010926086 1347901448 1516389129 1684876810 2021852172 2527315215 2695802896 3032778258 3369753620 4043704344 5054630430 6065556516 6739507240 7581945645 8087408688 10109260860 12131113032 13479014480 15163891290 20218521720 24262226064 30327782580 40437043440 60655565160 121311130320