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12252120000 = 26354102101
BaseRepresentation
bin10110110100100100…
…01000001111000000
31011121212112011222020
423122102020033000
5200043020320000
65343433241440
7612422205321
oct133222101700
934555464866
1012252120000
11521800310a
12245b263280
13120346a163
148432ca448
154ba972ba0
hex2da4883c0

12252120000 has 140 divisors (see below), whose sum is σ = 40508764296. Its totient is φ = 3267200000.

The previous prime is 12252119981. The next prime is 12252120011. The reversal of 12252120000 is 2125221.

It is a super-2 number, since 2×122521200002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68950 + ... + 171050.

Almost surely, 212252120000 is an apocalyptic number.

12252120000 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 12252120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20254382148).

12252120000 is an abundant number, since it is smaller than the sum of its proper divisors (28256644296).

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

12252120000 is an equidigital number, since it uses as much as digits as its factorization.

12252120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102136 (or 102111 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 12252120000 its reverse (2125221), we get a palindrome (12254245221).

The spelling of 12252120000 in words is "twelve billion, two hundred fifty-two million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 102101 120000 204202 306303 408404 510505 612606 816808 1021010 1225212 1531515 1633616 2042020 2450424 2552525 3063030 3267232 4084040 4900848 5105050 6126060 6534464 7657575 8168080 9801696 10210100 12252120 12762625 15315150 16336160 19603392 20420200 24504240 25525250 30630300 32672320 38287875 40840400 49008480 51050500 61260600 63813125 76575750 81680800 98016960 102101000 122521200 127626250 153151500 163361600 191439375 204202000 245042400 255252500 306303000 382878750 408404000 490084800 510505000 612606000 765757500 816808000 1021010000 1225212000 1531515000 2042020000 2450424000 3063030000 4084040000 6126060000 12252120000