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12120001300 = 22521129371069
BaseRepresentation
bin10110100100110100…
…01000101100010100
31011021122220212012001
423102122020230110
5144310210020200
65322353405044
7606226211521
oct132232105424
934248825161
1012120001300
11515a474400
122422b69784
1311b1c8c204
1482d938148
154ae07676a
hex2d2688b14

12120001300 has 108 divisors (see below), whose sum is σ = 28966631260. Its totient is φ = 4398451200.

The previous prime is 12120001297. The next prime is 12120001429. The reversal of 12120001300 is 310002121.

It can be written as a sum of positive squares in 6 ways, for example, as 2152774404 + 9967226896 = 46398^2 + 99836^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11337166 + ... + 11338234.

Almost surely, 212120001300 is an apocalyptic number.

12120001300 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 12120001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14483315630).

12120001300 is an abundant number, since it is smaller than the sum of its proper divisors (16846629960).

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

12120001300 is a wasteful number, since it uses less digits than its factorization.

12120001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12120001300 its reverse (310002121), we get a palindrome (12430003421).

The spelling of 12120001300 in words is "twelve billion, one hundred twenty million, one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 937 1069 1100 1210 1874 2138 2420 3025 3748 4276 4685 5345 6050 9370 10307 10690 11759 12100 18740 20614 21380 23425 23518 26725 41228 46850 47036 51535 53450 58795 93700 103070 106900 113377 117590 129349 206140 226754 235180 257675 258698 293975 453508 515350 517396 566885 587950 646745 1001653 1030700 1133770 1175900 1293490 2003306 2267540 2586980 2834425 3233725 4006612 5008265 5668850 6467450 10016530 11018183 11337700 12934900 20033060 22036366 25041325 44072732 50082650 55090915 100165300 110181830 121200013 220363660 242400026 275454575 484800052 550909150 606000065 1101818300 1212000130 2424000260 3030000325 6060000650 12120001300