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12212023230000 = 2432541183331449
BaseRepresentation
bin1011000110110101010101…
…0011100111111000110000
31121020110100220012011012200
42301231111103213320300
53100040210421330000
641550043115423200
72400201214514136
oct261552523477060
947213326164180
1012212023230000
1139890a9823720
121452931a54b00
136a7786917c29
143030ca807756
151629e1ba3500
hexb1b554e7e30

12212023230000 has 1200 divisors, whose sum is σ = 47398785033600. Its totient is φ = 2909491200000.

The previous prime is 12212023229971. The next prime is 12212023230031. The reversal of 12212023230000 is 3232021221.

12212023230000 is a `hidden beast` number, since 12 + 2 + 120 + 232 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×122120232300002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27198269776 + ... + 27198270224.

It is an arithmetic number, because the mean of its divisors is an integer number (39498987528).

Almost surely, 212212023230000 is an apocalyptic number.

12212023230000 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 12212023230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23699392516800).

12212023230000 is an abundant number, since it is smaller than the sum of its proper divisors (35186761803600).

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

12212023230000 is a wasteful number, since it uses less digits than its factorization.

12212023230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12212023230000 its reverse (3232021221), we get a palindrome (12215255251221).

The spelling of 12212023230000 in words is "twelve trillion, two hundred twelve billion, twenty-three million, two hundred thirty thousand".