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123210000096 = 25310740929327
BaseRepresentation
bin111001010111111100…
…0110110011011100000
3102210000201100111210220
41302233320312123200
54004313230000341
6132334001523040
711621154502161
oct1625770663340
9383021314726
10123210000096
1148286918767
121ba66943480
13b807247801
145d6b7b5768
153311bcba66
hex1cafe366e0

123210000096 has 96 divisors (see below), whose sum is σ = 327258247680. Its totient is φ = 40585307136.

The previous prime is 123210000049. The next prime is 123210000101. The reversal of 123210000096 is 690000012321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 4186585 + ... + 4215911.

It is an arithmetic number, because the mean of its divisors is an integer number (3408940080).

Almost surely, 2123210000096 is an apocalyptic number.

123210000096 is a gapful number since it is divisible by the number (16) 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 123210000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163629123840).

123210000096 is an abundant number, since it is smaller than the sum of its proper divisors (204048247584).

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

123210000096 is a wasteful number, since it uses less digits than its factorization.

123210000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29856 (or 29848 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 123210000096 in words is "one hundred twenty-three billion, two hundred ten million, ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 409 428 642 818 856 1227 1284 1636 1712 2454 2568 3272 3424 4908 5136 6544 9816 10272 13088 19632 29327 39264 43763 58654 87526 87981 117308 131289 175052 175962 234616 262578 350104 351924 469232 525156 700208 703848 938464 1050312 1400416 1407696 2100624 2815392 3137989 4201248 6275978 9413967 11994743 12551956 18827934 23989486 25103912 35984229 37655868 47978972 50207824 71968458 75311736 95957944 100415648 143936916 150623472 191915888 287873832 301246944 383831776 575747664 1151495328 1283437501 2566875002 3850312503 5133750004 7700625006 10267500008 15401250012 20535000016 30802500024 41070000032 61605000048 123210000096