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12012113002300 = 22521571034373973
BaseRepresentation
bin1010111011001100100110…
…1110100111111100111100
31120112100100210211101011021
42232303021232213330330
53033301301412033200
641314142153433524
72346563233564015
oct256631156477474
946470323741137
1012012113002300
1139113436a8804
12142004040b8a4
1369197809b178
142d756461400c
1515c6e156341a
hexaecc9ba7f3c

12012113002300 has 72 divisors (see below), whose sum is σ = 26235203402016. Its totient is φ = 4773714965760.

The previous prime is 12012113002217. The next prime is 12012113002303. The reversal of 12012113002300 is 320031121021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012113002303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162348114 + ... + 162422086.

It is an arithmetic number, because the mean of its divisors is an integer number (364377825028).

Almost surely, 212012113002300 is an apocalyptic number.

12012113002300 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 12012113002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117601701008).

12012113002300 is an abundant number, since it is smaller than the sum of its proper divisors (14223090399716).

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

12012113002300 is a wasteful number, since it uses less digits than its factorization.

12012113002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84487 (or 84480 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12012113002300 its reverse (320031121021), we get a palindrome (12332144123321).

The spelling of 12012113002300 in words is "twelve trillion, twelve billion, one hundred thirteen million, two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 10343 15700 20686 41372 51715 73973 103430 147946 206860 258575 295892 369865 517150 739730 1034300 1479460 1623851 1849325 3247702 3698650 6495404 7397300 8119255 11613761 16238510 23227522 32477020 40596275 46455044 58068805 81192550 116137610 162385100 232275220 290344025 580688050 765102739 1161376100 1530205478 3060410956 3825513695 7651027390 15302054780 19127568475 38255136950 76510273900 120121130023 240242260046 480484520092 600605650115 1201211300230 2402422600460 3003028250575 6006056501150 12012113002300