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12324112000 = 27533124847
BaseRepresentation
bin10110111101001001…
…10000011010000000
31011210212222202102121
423132210300122000
5200214433041000
65354524254024
7614255136454
oct133644603200
934725882377
1012324112000
115254704832
12247b3a1314
131215355585
1484caaa664
154c1e43b1a
hex2de930680

12324112000 has 128 divisors (see below), whose sum is σ = 31630510080. Its totient is φ = 4770432000.

The previous prime is 12324111973. The next prime is 12324112037. The reversal of 12324112000 is 21142321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483577 + ... + 508423.

It is an arithmetic number, because the mean of its divisors is an integer number (247113360).

Almost surely, 212324112000 is an apocalyptic number.

12324112000 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 12324112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15815255040).

12324112000 is an abundant number, since it is smaller than the sum of its proper divisors (19306398080).

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

12324112000 is an equidigital number, since it uses as much as digits as its factorization.

12324112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24907 (or 24885 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12324112000 its reverse (21142321), we get a palindrome (12345254321).

The spelling of 12324112000 in words is "twelve billion, three hundred twenty-four million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 200 248 250 310 320 400 496 500 620 640 775 800 992 1000 1240 1550 1600 1984 2000 2480 3100 3200 3875 3968 4000 4960 6200 7750 8000 9920 12400 15500 16000 19840 24800 24847 31000 49600 49694 62000 99200 99388 124000 124235 198776 248000 248470 397552 496000 496940 621175 770257 795104 993880 1242350 1540514 1590208 1987760 2484700 3081028 3105875 3180416 3851285 3975520 4969400 6162056 6211750 7702570 7951040 9938800 12324112 12423500 15405140 15902080 19256425 19877600 24648224 24847000 30810280 38512850 39755200 49296448 49694000 61620560 77025700 79510400 96282125 98592896 99388000 123241120 154051400 192564250 198776000 246482240 308102800 385128500 397552000 492964480 616205600 770257000 1232411200 1540514000 2464822400 3081028000 6162056000 12324112000