Search a number
-
+
121321123120 = 24523111759029
BaseRepresentation
bin111000011111101001…
…1010110110100110000
3102121011002002121201101
41300333103112310300
53441431201414440
6131422324414144
711523310350211
oct1607723266460
9377132077641
10121321123120
11474a767a50a
121b61a247354
13b595b09a22
145c2c9a5408
153250e6969a
hex1c3f4d6d30

121321123120 has 80 divisors (see below), whose sum is σ = 294604090560. Its totient is φ = 46376174592.

The previous prime is 121321123117. The next prime is 121321123129. The reversal of 121321123120 is 21321123121.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (121321123129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2025766 + ... + 2084794.

It is an arithmetic number, because the mean of its divisors is an integer number (3682551132).

Almost surely, 2121321123120 is an apocalyptic number.

121321123120 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 121321123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147302045280).

121321123120 is an abundant number, since it is smaller than the sum of its proper divisors (173282967440).

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

121321123120 is a wasteful number, since it uses less digits than its factorization.

121321123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60182 (or 60176 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 121321123120 its reverse (21321123121), we get a palindrome (142642246241).

Subtracting from 121321123120 its reverse (21321123121), we obtain a palindrome (99999999999).

The spelling of 121321123120 in words is "one hundred twenty-one billion, three hundred twenty-one million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1117 1840 2234 4468 5585 8936 11170 17872 22340 25691 44680 51382 59029 89360 102764 118058 128455 205528 236116 256910 295145 411056 472232 513820 590290 944464 1027640 1180580 1357667 2055280 2361160 2715334 4722320 5430668 6788335 10861336 13576670 21722672 27153340 54306680 65935393 108613360 131870786 263741572 329676965 527483144 659353930 1054966288 1318707860 1516514039 2637415720 3033028078 5274831440 6066056156 7582570195 12132112312 15165140390 24264224624 30330280780 60660561560 121321123120