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2222001022120 = 23511671016611129
BaseRepresentation
bin100000010101011001100…
…101001110010010101000
321212102101001221021000121
4200111121211032102220
5242401124230201440
64420435001213024
7316351154025505
oct40253145162250
97772331837017
102222001022120
117873887165a0
122ba77b791174
131316c29a2819
147978c8da4ac
153cbecbd334a
hex2055994e4a8

2222001022120 has 256 divisors, whose sum is σ = 5603627692800. Its totient is φ = 786170880000.

The previous prime is 2222001022117. The next prime is 2222001022169. The reversal of 2222001022120 is 212201002222.

It is a junction number, because it is equal to n+sod(n) for n = 2222001022094 and 2222001022103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1968113716 + ... + 1968114844.

It is an arithmetic number, because the mean of its divisors is an integer number (21889170675).

Almost surely, 22222001022120 is an apocalyptic number.

2222001022120 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 2222001022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801813846400).

2222001022120 is an abundant number, since it is smaller than the sum of its proper divisors (3381626670680).

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

2222001022120 is a wasteful number, since it uses less digits than its factorization.

2222001022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2222001022120 its reverse (212201002222), we get a palindrome (2434202024342).

It can be divided in two parts, 222200102 and 2120, that added together give a palindrome (222202222).

The spelling of 2222001022120 in words is "two trillion, two hundred twenty-two billion, one million, twenty-two thousand, one hundred twenty".