Search a number
-
+
12221012222100 = 22345211137160631
BaseRepresentation
bin1011000111010110110100…
…0101111010000010010100
31121021022120100120021020000
42301311231011322002110
53100212113112101400
641554131105011300
72400640034630163
oct261655505720224
947238510507200
1012221012222100
1139919a1886510
121454620323b30
136a858a012976
143037005953da
15162d6ae08600
hexb1d6d17a094

12221012222100 has 180 divisors, whose sum is σ = 43217120573088. Its totient is φ = 2962669608000.

The previous prime is 12221012222099. The next prime is 12221012222119. The reversal of 12221012222100 is 122221012221.

It is a happy number.

12221012222100 is a `hidden beast` number, since 1 + 22 + 210 + 1 + 222 + 210 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68491216 + ... + 68669415.

Almost surely, 212221012222100 is an apocalyptic number.

12221012222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221012222100 is an abundant number, since it is smaller than the sum of its proper divisors (30996108350988).

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

12221012222100 is a wasteful number, since it uses less digits than its factorization.

12221012222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137160668 (or 137160652 counting only the distinct ones).

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

Adding to 12221012222100 its reverse (122221012221), we get a palindrome (12343233234321).

The spelling of 12221012222100 in words is "twelve trillion, two hundred twenty-one billion, twelve million, two hundred twenty-two thousand, one hundred".