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12210212212000 = 25531119129711261
BaseRepresentation
bin1011000110101110100101…
…0111001000110100100000
31121020021200200102220112221
42301223221113020310200
53100023003311241000
641545143303200424
72400105304230235
oct261535127106440
947207620386487
1012210212212000
11398835a524030
121452507446114
136a755866ab4a
14302d980a378c
15162937bc061a
hexb1ae95c8d20

12210212212000 has 384 divisors, whose sum is σ = 34479948222720. Its totient is φ = 4202772480000.

The previous prime is 12210212211997. The next prime is 12210212212001. The reversal of 12210212212000 is 21221201221.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12210212212001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1084286370 + ... + 1084297630.

It is an arithmetic number, because the mean of its divisors is an integer number (89791531830).

Almost surely, 212210212212000 is an apocalyptic number.

12210212212000 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 12210212212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17239974111360).

12210212212000 is an abundant number, since it is smaller than the sum of its proper divisors (22269736010720).

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

12210212212000 is a wasteful number, since it uses less digits than its factorization.

12210212212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12613 (or 12595 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12210212212000 its reverse (21221201221), we get a palindrome (12231433413221).

It can be divided in two parts, 12 and 210212212000, that added together give a palindrome (210212212012).

The spelling of 12210212212000 in words is "twelve trillion, two hundred ten billion, two hundred twelve million, two hundred twelve thousand".