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12223220201010 = 23257213375762381
BaseRepresentation
bin1011000111011111000010…
…1100101011011000110010
31121021112021020021012212200
42301313300230223120302
53100231123332413020
641555134141404030
72401045535300400
oct261676054533062
947245236235780
1012223220201010
113992925165775
121454b37869616
136a884c5a8c70
1430386d90c470
15162e49b9e590
hexb1df0b2b632

12223220201010 has 288 divisors, whose sum is σ = 40888802393712. Its totient is φ = 2509262945280.

The previous prime is 12223220200999. The next prime is 12223220201063. The reversal of 12223220201010 is 1010202232221.

12223220201010 is a `hidden beast` number, since 1 + 222 + 322 + 0 + 20 + 101 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6468532575561 + 5754687625449 = 2543331^2 + 2398893^2 .

It is a super-2 number, since 2×122232202010102 (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 143 ways as a sum of consecutive naturals, for example, 759981 + ... + 5002400.

Almost surely, 212223220201010 is an apocalyptic number.

12223220201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223220201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444401196856).

12223220201010 is an abundant number, since it is smaller than the sum of its proper divisors (28665582192702).

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

12223220201010 is a wasteful number, since it uses less digits than its factorization.

12223220201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762458 (or 5762448 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12223220201010 its reverse (1010202232221), we get a palindrome (13233422433231).

The spelling of 12223220201010 in words is "twelve trillion, two hundred twenty-three billion, two hundred twenty million, two hundred one thousand, ten".