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12122000000 = 2756111929
BaseRepresentation
bin10110100101000011…
…10000101010000000
31011021210200101212222
423102201300222000
5144311213000000
65322504310212
7606252204605
oct132241605200
934253611788
1012122000000
11516060a020
122423772368
1311b250bb86
1482dcd86ac
154ae31da85
hex2d2870a80

12122000000 has 448 divisors, whose sum is σ = 35858916000. Its totient is φ = 4032000000.

The previous prime is 12121999999. The next prime is 12122000021. The reversal of 12122000000 is 22121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 417999986 + ... + 418000014.

Almost surely, 212122000000 is an apocalyptic number.

12122000000 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 12122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929458000).

12122000000 is an abundant number, since it is smaller than the sum of its proper divisors (23736916000).

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

12122000000 is an frugal number, since it uses more digits than its factorization.

12122000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12122000000 its reverse (22121), we get a palindrome (12122022121).

The spelling of 12122000000 in words is "twelve billion, one hundred twenty-two million", and thus it is an aban number.