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12220210202112 = 293311892293943
BaseRepresentation
bin1011000111010011110101…
…0010011100011000000000
31121021020111110102102122000
42301310331102130120000
53100203442302431422
641553515334544000
72400611125601403
oct261647522343000
947236443372560
1012220210202112
113991620095a80
121454437808000
136a848cb03523
14303665c61d3a
15162d207d2cac
hexb1d3d49c600

12220210202112 has 640 divisors, whose sum is σ = 40088898432000. Its totient is φ = 3644572631040.

The previous prime is 12220210202107. The next prime is 12220210202113. The reversal of 12220210202112 is 21120201202221.

It is a happy number.

12220210202112 is a `hidden beast` number, since 1 + 2 + 220 + 210 + 20 + 211 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220210202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3099214413 + ... + 3099218355.

It is an arithmetic number, because the mean of its divisors is an integer number (62638903800).

Almost surely, 212220210202112 is an apocalyptic number.

12220210202112 is a gapful number since it is divisible by the number (12) 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 12220210202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20044449216000).

12220210202112 is an abundant number, since it is smaller than the sum of its proper divisors (27868688229888).

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

12220210202112 is a wasteful number, since it uses less digits than its factorization.

12220210202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12220210202112 its reverse (21120201202221), we get a palindrome (33340411404333).

The spelling of 12220210202112 in words is "twelve trillion, two hundred twenty billion, two hundred ten million, two hundred two thousand, one hundred twelve".