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12331123020 = 22335167136739
BaseRepresentation
bin10110111101111111…
…00000000101001100
31011211101011221202000
423132333200011030
5200223231414040
65355334432300
7614401546656
oct133677400514
934741157660
1012331123020
115258663267
122481802690
13121693b7c8
1484d9b36d6
154c287b130
hex2defe014c

12331123020 has 96 divisors (see below), whose sum is σ = 38593497600. Its totient is φ = 3268585152.

The previous prime is 12331122983. The next prime is 12331123033. The reversal of 12331123020 is 2032113321.

12331123020 is a `hidden beast` number, since 123 + 311 + 230 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12331122984 and 12331123002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21811 + ... + 158549.

It is an arithmetic number, because the mean of its divisors is an integer number (402015600).

Almost surely, 212331123020 is an apocalyptic number.

12331123020 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 12331123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19296748800).

12331123020 is an abundant number, since it is smaller than the sum of its proper divisors (26262374580).

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

12331123020 is a wasteful number, since it uses less digits than its factorization.

12331123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136924 (or 136916 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12331123020 its reverse (2032113321), we get a palindrome (14363236341).

The spelling of 12331123020 in words is "twelve billion, three hundred thirty-one million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 167 180 270 334 501 540 668 835 1002 1503 1670 2004 2505 3006 3340 4509 5010 6012 7515 9018 10020 15030 18036 22545 30060 45090 90180 136739 273478 410217 546956 683695 820434 1230651 1367390 1640868 2051085 2461302 2734780 3691953 4102170 4922604 6153255 7383906 8204340 12306510 14767812 18459765 22835413 24613020 36919530 45670826 68506239 73839060 91341652 114177065 137012478 205518717 228354130 274024956 342531195 411037434 456708260 616556151 685062390 822074868 1027593585 1233112302 1370124780 2055187170 2466224604 3082780755 4110374340 6165561510 12331123020