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2220210112120 = 23571113236735983
BaseRepresentation
bin100000010011101110110…
…101011100011001111000
321212020202021000121100121
4200103232311130121320
5242333442242041440
64415541143543024
7316255606400530
oct40235665343170
97766667017317
102220210112120
11786649800390
122ba35ba5aa74
13131498946070
147965cb0c4c0
153cb4587334a
hex204eed5c678

2220210112120 has 512 divisors, whose sum is σ = 7103483412480. Its totient is φ = 601872353280.

The previous prime is 2220210112117. The next prime is 2220210112121. The reversal of 2220210112120 is 212110120222.

It is a happy number.

2220210112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2220210112094 and 2220210112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220210112121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61683649 + ... + 61719631.

It is an arithmetic number, because the mean of its divisors is an integer number (13873991040).

Almost surely, 22220210112120 is an apocalyptic number.

2220210112120 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 2220210112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551741706240).

2220210112120 is an abundant number, since it is smaller than the sum of its proper divisors (4883273300360).

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

2220210112120 is a wasteful number, since it uses less digits than its factorization.

2220210112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36115 (or 36111 counting only the distinct ones).

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

Adding to 2220210112120 its reverse (212110120222), we get a palindrome (2432320232342).

The spelling of 2220210112120 in words is "two trillion, two hundred twenty billion, two hundred ten million, one hundred twelve thousand, one hundred twenty".