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123132320320 = 2652959224891
BaseRepresentation
bin111001010101101000…
…0100001101001000000
3102202211022011222012011
41302223100201221000
54004133333222240
6132322144542304
711616222311422
oct1625320415100
9382738158164
10123132320320
1148246a917a9
121ba44921994
13b7c411a549
145d61354812
153309e856ea
hex1cab421a40

123132320320 has 112 divisors (see below), whose sum is σ = 308461867200. Its totient is φ = 46748334080.

The previous prime is 123132320293. The next prime is 123132320371. The reversal of 123132320320 is 23023231321.

It is a junction number, because it is equal to n+sod(n) for n = 123132320291 and 123132320300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435075 + ... + 659965.

Almost surely, 2123132320320 is an apocalyptic number.

123132320320 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 123132320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154230933600).

123132320320 is an abundant number, since it is smaller than the sum of its proper divisors (185329546880).

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

123132320320 is a wasteful number, since it uses less digits than its factorization.

123132320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224996 (or 224986 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 123132320320 its reverse (23023231321), we get a palindrome (146155551641).

The spelling of 123132320320 in words is "one hundred twenty-three billion, one hundred thirty-two million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 59 64 80 116 118 145 160 232 236 290 295 320 464 472 580 590 928 944 1160 1180 1711 1856 1888 2320 2360 3422 3776 4640 4720 6844 8555 9280 9440 13688 17110 18880 27376 34220 54752 68440 109504 136880 224891 273760 449782 547520 899564 1124455 1799128 2248910 3598256 4497820 6521839 7196512 8995640 13043678 13268569 14393024 17991280 26087356 26537138 32609195 35982560 52174712 53074276 65218390 66342845 71965120 104349424 106148552 130436780 132685690 208698848 212297104 260873560 265371380 384788501 417397696 424594208 521747120 530742760 769577002 849188416 1043494240 1061485520 1539154004 1923942505 2086988480 2122971040 3078308008 3847885010 4245942080 6156616016 7695770020 12313232032 15391540040 24626464064 30783080080 61566160160 123132320320