Search a number
-
+
12022212000 = 253531967787
BaseRepresentation
bin10110011001001010…
…00110010110100000
31011000211220122111010
423030211012112200
5144110141241000
65304541420520
7603631054521
oct131445062640
934024818433
1012022212000
11510a2528a7
1223b626a740
131197940a16
14820960848
154a56abd50
hex2cc9465a0

12022212000 has 384 divisors, whose sum is σ = 42129884160. Its totient is φ = 2988057600.

The previous prime is 12022211969. The next prime is 12022212047. The reversal of 12022212000 is 21222021.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 15275607 + ... + 15276393.

It is an arithmetic number, because the mean of its divisors is an integer number (109713240).

Almost surely, 212022212000 is an apocalyptic number.

12022212000 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 12022212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21064942080).

12022212000 is an abundant number, since it is smaller than the sum of its proper divisors (30107672160).

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

12022212000 is a wasteful number, since it uses less digits than its factorization.

12022212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12022212000 its reverse (21222021), we get a palindrome (12043434021).

The spelling of 12022212000 in words is "twelve billion, twenty-two million, two hundred twelve thousand".