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2212122010120 = 23511311016832351
BaseRepresentation
bin100000001100001100101…
…111110010001000001000
321211110212120211110020021
4200030030233302020020
5242220411213310440
64412122415510224
7315551305561321
oct40141457621010
97743776743207
102212122010120
11783179228670
122b8883228374
131307aa096ba9
14790d286d448
153c82077384a
hex2030cbf2208

2212122010120 has 256 divisors, whose sum is σ = 5671100252160. Its totient is φ = 769296000000.

The previous prime is 2212122010099. The next prime is 2212122010181. The reversal of 2212122010120 is 210102212122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2212122010094 and 2212122010103.

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, 940926945 + ... + 940929295.

It is an arithmetic number, because the mean of its divisors is an integer number (22152735360).

Almost surely, 22212122010120 is an apocalyptic number.

2212122010120 is a gapful number since it is divisible by the number (20) 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 2212122010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835550126080).

2212122010120 is an abundant number, since it is smaller than the sum of its proper divisors (3458978242040).

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

2212122010120 is a wasteful number, since it uses less digits than its factorization.

2212122010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2212122010120 its reverse (210102212122), we get a palindrome (2422224222242).

The spelling of 2212122010120 in words is "two trillion, two hundred twelve billion, one hundred twenty-two million, ten thousand, one hundred twenty".