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12122022000 = 2435311259283
BaseRepresentation
bin10110100101000011…
…10110000001110000
31011021210201112001210
423102201312001300
5144311214201000
65322505000120
7606252326004
oct132241660160
934253645053
1012122022000
115160624600
122423783040
1311b2518baa
1482dd02704
154ae325350
hex2d2876070

12122022000 has 480 divisors, whose sum is σ = 43839694080. Its totient is φ = 2878656000.

The previous prime is 12122021987. The next prime is 12122022037. The reversal of 12122022000 is 22022121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42833859 + ... + 42834141.

It is an arithmetic number, because the mean of its divisors is an integer number (91332696).

Almost surely, 212122022000 is an apocalyptic number.

12122022000 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 12122022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21919847040).

12122022000 is an abundant number, since it is smaller than the sum of its proper divisors (31717672080).

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

12122022000 is a wasteful number, since it uses less digits than its factorization.

12122022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 363 counting only the distinct ones).

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

Adding to 12122022000 its reverse (22022121), we get a palindrome (12144044121).

The spelling of 12122022000 in words is "twelve billion, one hundred twenty-two million, twenty-two thousand".