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12341312300 = 2252718811973
BaseRepresentation
bin10110111111001100…
…10111101100101100
31011212002100121210202
423133212113230230
5200233333443200
65400341053032
7614554265222
oct133746275454
934762317722
1012341312300
115263392659
1224850b7178
131218a98575
148510a6b12
154c36e01d5
hex2df997b2c

12341312300 has 72 divisors (see below), whose sum is σ = 27202446432. Its totient is φ = 4859008000.

The previous prime is 12341312213. The next prime is 12341312317. The reversal of 12341312300 is 321314321.

It is a super-2 number, since 2×123413123002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6254114 + ... + 6256086.

It is an arithmetic number, because the mean of its divisors is an integer number (377811756).

Almost surely, 212341312300 is an apocalyptic number.

12341312300 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 12341312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13601223216).

12341312300 is an abundant number, since it is smaller than the sum of its proper divisors (14861134132).

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

12341312300 is a wasteful number, since it uses less digits than its factorization.

12341312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12341312300 its reverse (321314321), we get a palindrome (12662626621).

The spelling of 12341312300 in words is "twelve billion, three hundred forty-one million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 881 1420 1762 1775 1973 3524 3550 3946 4405 7100 7892 8810 9865 17620 19730 22025 39460 44050 49325 62551 88100 98650 125102 140083 197300 250204 280166 312755 560332 625510 700415 1251020 1400830 1563775 1738213 2801660 3127550 3476426 3502075 6255100 6952852 7004150 8691065 14008300 17382130 34764260 43455325 86910650 123413123 173821300 246826246 493652492 617065615 1234131230 2468262460 3085328075 6170656150 12341312300