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123251013242420 = 22572633982184061
BaseRepresentation
bin11100000001100010011100…
…110111001100111000110100
3121011101200102000202012210212
4130001202130313030320310
5112123321033342224140
61114044422301204552
734650410001614450
oct3401423467147064
9534350360665725
10123251013242420
11362a9508912168
12119a6a56b60758
1353a069cc1128b
142261549171660
15e3b095b0d765
hex70189cdcce34

123251013242420 has 96 divisors (see below), whose sum is σ = 296938144774656. Its totient is φ = 42095257459200.

The previous prime is 123251013242411. The next prime is 123251013242429. The reversal of 123251013242420 is 24242310152321.

It is an interprime number because it is at equal distance from previous prime (123251013242411) and next prime (123251013242429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123251013242429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1466167190 + ... + 1466251250.

It is an arithmetic number, because the mean of its divisors is an integer number (3093105674736).

Almost surely, 2123251013242420 is an apocalyptic number.

123251013242420 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 123251013242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148469072387328).

123251013242420 is an abundant number, since it is smaller than the sum of its proper divisors (173687131532236).

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

123251013242420 is a wasteful number, since it uses less digits than its factorization.

123251013242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124161 (or 124159 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 123251013242420 its reverse (24242310152321), we get a palindrome (147493323394741).

The spelling of 123251013242420 in words is "one hundred twenty-three trillion, two hundred fifty-one billion, thirteen million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 263 526 1052 1315 1841 2630 3682 5260 7364 9205 18410 36820 39821 79642 84061 159284 168122 199105 278747 336244 398210 420305 557494 588427 796420 840610 1114988 1176854 1393735 1681220 2353708 2787470 2942135 5574940 5884270 10472923 11768540 20945846 22108043 41891692 44216086 52364615 73310461 88432172 104729230 110540215 146620922 154756301 209458460 221080430 293241844 309512602 366552305 442160860 619025204 733104610 773781505 1466209220 1547563010 3095126020 3347393081 6694786162 13389572324 16736965405 23431751567 33473930810 46863503134 66947861620 93727006268 117158757835 234317515670 468635031340 880364380303 1760728760606 3521457521212 4401821901515 6162550662121 8803643803030 12325101324242 17607287606060 24650202648484 30812753310605 61625506621210 123251013242420