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2122012112220 = 223257111331379909
BaseRepresentation
bin11110111000010001110…
…001110011010101011100
321111212021200011100112100
4132320101301303111130
5234231340100042340
64302501112005100
7306211303226610
oct36702161632534
97455250140470
102122012112220
11748a38575670
122a3315690790
13125149576b90
14749c5125340
153a2e9939830
hex1ee11c7355c

2122012112220 has 576 divisors, whose sum is σ = 8921186426880. Its totient is φ = 393888614400.

The previous prime is 2122012112201. The next prime is 2122012112261. The reversal of 2122012112220 is 222112102212.

It is a happy number.

2122012112220 is a `hidden beast` number, since 212 + 20 + 1 + 211 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122012112193 and 2122012112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5395626 + ... + 5775534.

It is an arithmetic number, because the mean of its divisors is an integer number (15488170880).

Almost surely, 22122012112220 is an apocalyptic number.

2122012112220 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 2122012112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460593213440).

2122012112220 is an abundant number, since it is smaller than the sum of its proper divisors (6799174314660).

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

2122012112220 is a wasteful number, since it uses less digits than its factorization.

2122012112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379986 (or 379981 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122012112220 its reverse (222112102212), we get a palindrome (2344124214432).

The spelling of 2122012112220 in words is "two trillion, one hundred twenty-two billion, twelve million, one hundred twelve thousand, two hundred twenty".