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12221101210212 = 2233487232357997
BaseRepresentation
bin1011000111010111001001…
…1001010111101001100100
31121021022210120000022222000
42301311302121113221210
53100212303402211322
641554144004205300
72400642165206556
oct261656231275144
947238716008860
1012221101210212
113991a38036604
121454646099830
136a85a259c15b
1430370c31b4d6
15162d73b353ac
hexb1d72657a64

12221101210212 has 48 divisors (see below), whose sum is σ = 31749396846720. Its totient is φ = 4065335498016.

The previous prime is 12221101210187. The next prime is 12221101210237. The reversal of 12221101210212 is 21201210112221.

12221101210212 is a `hidden beast` number, since 1 + 222 + 110 + 121 + 0 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (12221101210187) and next prime (12221101210237).

It is a super-2 number, since 2×122211012102122 (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 15 ways as a sum of consecutive naturals, for example, 116126403 + ... + 116231594.

It is an arithmetic number, because the mean of its divisors is an integer number (661445767640).

Almost surely, 212221101210212 is an apocalyptic number.

12221101210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12221101210212 is an abundant number, since it is smaller than the sum of its proper divisors (19528295636508).

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

12221101210212 is a wasteful number, since it uses less digits than its factorization.

12221101210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232358497 (or 232358489 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12221101210212 its reverse (21201210112221), we get a palindrome (33422311322433).

The spelling of 12221101210212 in words is "twelve trillion, two hundred twenty-one billion, one hundred one million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 487 974 1461 1948 2922 4383 5844 8766 13149 17532 26298 52596 232357997 464715994 697073991 929431988 1394147982 2091221973 2788295964 4182443946 6273665919 8364887892 12547331838 25094663676 113158344539 226316689078 339475033617 452633378156 678950067234 1018425100851 1357900134468 2036850201702 3055275302553 4073700403404 6110550605106 12221101210212