Search a number
-
+
12221102312100 = 2232521117241367821
BaseRepresentation
bin1011000111010111001001…
…1101100100101010100100
31121021022210122002022110200
42301311302131210222210
53100212304142441400
641554144043550500
72400642210446223
oct261656235445244
947238718068420
1012221102312100
113991a38719460
12145464652b430
136a85a2896866
1430370c526cba
15162d73ca1b00
hexb1d72764aa4

12221102312100 has 864 divisors, whose sum is σ = 44605852042752. Its totient is φ = 2765905920000.

The previous prime is 12221102312099. The next prime is 12221102312101. The reversal of 12221102312100 is 121320112221.

12221102312100 is a `hidden beast` number, since 1 + 2 + 221 + 1 + 0 + 231 + 210 + 0 = 666.

12221102312100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12221102312099) and next prime (12221102312101).

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

It is not an unprimeable number, because it can be changed into a prime (12221102312101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14885629690 + ... + 14885630510.

It is an arithmetic number, because the mean of its divisors is an integer number (51627143568).

Almost surely, 212221102312100 is an apocalyptic number.

12221102312100 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 12221102312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22302926021376).

12221102312100 is an abundant number, since it is smaller than the sum of its proper divisors (32384749730652).

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

12221102312100 is a wasteful number, since it uses less digits than its factorization.

12221102312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12221102312100 its reverse (121320112221), we get a palindrome (12342422424321).

The spelling of 12221102312100 in words is "twelve trillion, two hundred twenty-one billion, one hundred two million, three hundred twelve thousand, one hundred".