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123128444320 = 2557148174231
BaseRepresentation
bin111001010101100000…
…1101111010110100000
3102202211000220001022121
41302223001233112200
54004131340204240
6132321525514024
711616144336220
oct1625301572640
9382730801277
10123128444320
11482448846a2
121ba43572914
13b7c339125b
145d60a26080
15330996c04a
hex1cab06f5a0

123128444320 has 96 divisors (see below), whose sum is σ = 332675755776. Its totient is φ = 42186393600.

The previous prime is 123128444281. The next prime is 123128444323. The reversal of 123128444320 is 23444821321.

It is a super-2 number, since 2×1231284443202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123128444323) 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, 1621605 + ... + 1695835.

It is an arithmetic number, because the mean of its divisors is an integer number (3465372456).

Almost surely, 2123128444320 is an apocalyptic number.

123128444320 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 123128444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166337877888).

123128444320 is an abundant number, since it is smaller than the sum of its proper divisors (209547311456).

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

123128444320 is a wasteful number, since it uses less digits than its factorization.

123128444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75734 (or 75726 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 123128444320 in words is "one hundred twenty-three billion, one hundred twenty-eight million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1481 2962 5924 7405 10367 11848 14810 20734 23696 29620 41468 47392 51835 59240 74231 82936 103670 118480 148462 165872 207340 236960 296924 331744 371155 414680 519617 593848 742310 829360 1039234 1187696 1484620 1658720 2078468 2375392 2598085 2969240 4156936 5196170 5938480 8313872 10392340 11876960 16627744 20784680 41569360 83138720 109936111 219872222 439744444 549680555 769552777 879488888 1099361110 1539105554 1758977776 2198722220 3078211108 3517955552 3847763885 4397444440 6156422216 7695527770 8794888880 12312844432 15391055540 17589777760 24625688864 30782111080 61564222160 123128444320