Search a number
-
+
12222072000 = 263253169751
BaseRepresentation
bin10110110000111111…
…00000010011000000
31011112202222120212100
423120133200103000
5200012322301000
65340441230400
7611605616655
oct133037402300
934482876770
1012222072000
11520204a656
122451192400
1311ca179388
1483d307c2c
154b7ed9a00
hex2d87e04c0

12222072000 has 168 divisors, whose sum is σ = 43720646112. Its totient is φ = 3259200000.

The previous prime is 12222071951. The next prime is 12222072001. The reversal of 12222072000 is 27022221.

It is a happy number.

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 (12222072001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12876 + ... + 156875.

Almost surely, 212222072000 is an apocalyptic number.

12222072000 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 12222072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21860323056).

12222072000 is an abundant number, since it is smaller than the sum of its proper divisors (31498574112).

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

12222072000 is a wasteful number, since it uses less digits than its factorization.

12222072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169784 (or 169761 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 12222072000 its reverse (27022221), we get a palindrome (12249094221).

The spelling of 12222072000 in words is "twelve billion, two hundred twenty-two million, seventy-two thousand".