Search a number
-
+
12212021102022 = 23271922335771997
BaseRepresentation
bin1011000110110101010100…
…1011100000010111000110
31121020110100202012001011200
42301231111023200113012
53100040204400231042
641550043002043330
72400201160442130
oct261552513402706
947213322161150
1012212021102022
1139890a85aa965
1214529311a9546
136a7786351481
143030ca412050
151629e18d2c4c
hexb1b552e05c6

12212021102022 has 288 divisors, whose sum is σ = 32123196136512. Its totient is φ = 3283973259264.

The previous prime is 12212021102009. The next prime is 12212021102051. The reversal of 12212021102022 is 22020112021221.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12212021101986 and 12212021102004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6115182328 + ... + 6115184324.

It is an arithmetic number, because the mean of its divisors is an integer number (111538875474).

Almost surely, 212212021102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212021102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061598068256).

12212021102022 is an abundant number, since it is smaller than the sum of its proper divisors (19911175034490).

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

12212021102022 is a wasteful number, since it uses less digits than its factorization.

12212021102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2838 counting only the distinct ones).

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

Adding to 12212021102022 its reverse (22020112021221), we get a palindrome (34232133123243).

The spelling of 12212021102022 in words is "twelve trillion, two hundred twelve billion, twenty-one million, one hundred two thousand, twenty-two".