Search a number
-
+
12022202120 = 23517192321759
BaseRepresentation
bin10110011001001010…
…00011111100001000
31011000211220010221012
423030211003330020
5144110140431440
65304541303052
7603631013645
oct131445037410
934024803835
1012022202120
11510a246435
1223b6264a88
131197939386
1482095adcc
154a56a8e65
hex2cc943f08

12022202120 has 192 divisors, whose sum is σ = 31534272000. Its totient is φ = 4099037184.

The previous prime is 12022202077. The next prime is 12022202123. The reversal of 12022202120 is 2120222021.

It is a junction number, because it is equal to n+sod(n) for n = 12022202095 and 12022202104.

It is not an unprimeable number, because it can be changed into a prime (12022202123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6833801 + ... + 6835559.

It is an arithmetic number, because the mean of its divisors is an integer number (164241000).

Almost surely, 212022202120 is an apocalyptic number.

12022202120 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 12022202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15767136000).

12022202120 is an abundant number, since it is smaller than the sum of its proper divisors (19512069880).

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

12022202120 is a wasteful number, since it uses less digits than its factorization.

12022202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12022202120 its reverse (2120222021), we get a palindrome (14142424141).

The spelling of 12022202120 in words is "twelve billion, twenty-two million, two hundred two thousand, one hundred twenty".