Search a number
-
+
12022031000 = 235372389839
BaseRepresentation
bin10110011001001000…
…11010001010011000
31011000211120110012102
423030210122022120
5144110114443000
65304533502532
7603626402030
oct131444321230
934024513172
1012022031000
11510a139911
1223b61a1a48
1311978a9515
148209148c0
154a56733d5
hex2cc91a298

12022031000 has 256 divisors, whose sum is σ = 33965568000. Its totient is φ = 3893683200.

The previous prime is 12022030973. The next prime is 12022031039. The reversal of 12022031000 is 13022021.

It is a happy number.

It is a super-2 number, since 2×120220310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14328581 + ... + 14329419.

It is an arithmetic number, because the mean of its divisors is an integer number (132678000).

Almost surely, 212022031000 is an apocalyptic number.

12022031000 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 12022031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784000).

12022031000 is an abundant number, since it is smaller than the sum of its proper divisors (21943537000).

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

12022031000 is a wasteful number, since it uses less digits than its factorization.

12022031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12022031000 its reverse (13022021), we get a palindrome (12035053021).

The spelling of 12022031000 in words is "twelve billion, twenty-two million, thirty-one thousand".