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12122211000000 = 263564040737
BaseRepresentation
bin1011000001100110110000…
…0101001001111011000000
31120220212112201122011002210
42300121230011021323000
53042102242004000000
641440511123542120
72360541455250033
oct260315405117300
946825481564083
1012122211000000
1139540010a1a52
121439447b2a940
1369c17298a37a
142dca0a82701a
151604d7067350
hexb066c149ec0

12122211000000 has 196 divisors, whose sum is σ = 40091184170024. Its totient is φ = 3232588800000.

The previous prime is 12122210999993. The next prime is 12122211000001. The reversal of 12122211000000 is 11222121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12122211000000.

It is not an unprimeable number, because it can be changed into a prime (12122211000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 979632 + ... + 5020368.

Almost surely, 212122211000000 is an apocalyptic number.

12122211000000 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 12122211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20045592085012).

12122211000000 is an abundant number, since it is smaller than the sum of its proper divisors (27968973170024).

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

12122211000000 is an frugal number, since it uses more digits than its factorization.

12122211000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4040782 (or 4040747 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12122211000000 its reverse (11222121), we get a palindrome (12122222222121).

The spelling of 12122211000000 in words is "twelve trillion, one hundred twenty-two billion, two hundred eleven million", and thus it is an aban number.