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123201023123332 = 227111014243933403
BaseRepresentation
bin11100000000110011111001…
…001110000001111110000100
3121011012220101010112001020201
4130000303321032001332010
5112122011143404421312
61114005434011340244
734643660126614150
oct3400637116017604
9534186333461221
10123201023123332
113628a295788860
1211999225451684
135398a64220b5b
14225cd65c94060
15e39b1c06b557
hex700cf9381f84

123201023123332 has 96 divisors (see below), whose sum is σ = 271527910585344. Its totient is φ = 47513895408000.

The previous prime is 123201023123281. The next prime is 123201023123333. The reversal of 123201023123332 is 233321320102321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 123201023123332.

It is not an unprimeable number, because it can be changed into a prime (123201023123333) 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, 131524543 + ... + 132457945.

It is an arithmetic number, because the mean of its divisors is an integer number (2828415735264).

Almost surely, 2123201023123332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123201023123332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135763955292672).

123201023123332 is an abundant number, since it is smaller than the sum of its proper divisors (148326887462012).

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

123201023123332 is a wasteful number, since it uses less digits than its factorization.

123201023123332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937769 (or 937767 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 123201023123332 its reverse (233321320102321), we get a palindrome (356522343225653).

It can be divided in two parts, 1232010 and 23123332, that added together give a palindrome (24355342).

The spelling of 123201023123332 in words is "one hundred twenty-three trillion, two hundred one billion, twenty-three million, one hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 308 404 707 1111 1414 2222 2828 4243 4444 7777 8486 15554 16972 29701 31108 46673 59402 93346 118804 186692 326711 428543 653422 857086 933403 1306844 1714172 1866806 2999801 3733612 4713973 5999602 6533821 9427946 10267433 11999204 13067642 18855892 20534866 26135284 32997811 41069732 65995622 71872031 94273703 131991244 143744062 188547406 287488124 377094812 659915921 1037010733 1319831842 2074021466 2639663684 3960428929 4148042932 7259075131 7920857858 14518150262 15841715716 27723002503 29036300524 43564718219 55446005006 87129436438 110892010012 174258872876 304953027533 400003321829 609906055066 800006643658 1219812110132 1600013287316 2800023252803 4400036540119 5600046505606 8800073080238 11200093011212 17600146160476 30800255780833 61600511561666 123201023123332