Search a number
-
+
12221110121112 = 2332268616319111
BaseRepresentation
bin1011000111010111001011…
…1011010111001010011000
31121021022211011210001102100
42301311302323113022120
53100212313142333422
641554144523203400
72400642334022064
oct261656273271230
947238734701370
1012221110121112
113991a42072492
121454649076560
136a85a439c089
1430370d59aaa4
15162d747e57ac
hexb1d72ed7298

12221110121112 has 48 divisors (see below), whose sum is σ = 33100077376080. Its totient is φ = 4073551070400.

The previous prime is 12221110121093. The next prime is 12221110121137. The reversal of 12221110121112 is 21112101112221.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 1225564 + ... + 5093547.

It is an arithmetic number, because the mean of its divisors is an integer number (689584945335).

Almost surely, 212221110121112 is an apocalyptic number.

12221110121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12221110121112 is an abundant number, since it is smaller than the sum of its proper divisors (20878967254968).

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

12221110121112 is a wasteful number, since it uses less digits than its factorization.

12221110121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345984 (or 6345977 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12221110121112 its reverse (21112101112221), we get a palindrome (33333211233333).

The spelling of 12221110121112 in words is "twelve trillion, two hundred twenty-one billion, one hundred ten million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 26861 53722 80583 107444 161166 214888 241749 322332 483498 644664 966996 1933992 6319111 12638222 18957333 25276444 37914666 50552888 56871999 75829332 113743998 151658664 227487996 454975992 169737640571 339475281142 509212921713 678950562284 1018425843426 1357901124568 1527638765139 2036851686852 3055277530278 4073703373704 6110555060556 12221110121112