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12210101120 = 275743241263
BaseRepresentation
bin10110101111100011…
…10101101110000000
31011111221110101220102
423113301311232000
5200001241213440
65335332501532
7611402101310
oct132761655600
934457411812
1012210101120
1151a6313768
12244917a8a8
1311c7847709
1483b8ad440
154b6e22b15
hex2d7c75b80

12210101120 has 256 divisors, whose sum is σ = 34407521280. Its totient is φ = 4056514560.

The previous prime is 12210101117. The next prime is 12210101143. The reversal of 12210101120 is 2110101221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46426109 + ... + 46426371.

It is an arithmetic number, because the mean of its divisors is an integer number (134404380).

Almost surely, 212210101120 is an apocalyptic number.

12210101120 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 12210101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17203760640).

12210101120 is an abundant number, since it is smaller than the sum of its proper divisors (22197420160).

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

12210101120 is a wasteful number, since it uses less digits than its factorization.

12210101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12210101120 its reverse (2110101221), we get a palindrome (14320202341).

The spelling of 12210101120 in words is "twelve billion, two hundred ten million, one hundred one thousand, one hundred twenty".