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222220122002120 = 235112992611687643
BaseRepresentation
bin110010100001101110100111…
…011011110001001011001000
31002010211000222101022201101102
4302201232213123301023020
5213111323302213031440
62104342303103040532
764543605532105634
oct6241564733611310
91063730871281342
10222220122002120
116489602a670390
1220b0b8b92a0148
1396cc362b79078
143cc3722db5dc4
151aa56c6b91b15
hexca1ba76f12c8

222220122002120 has 64 divisors (see below), whose sum is σ = 545451536226240. Its totient is φ = 80806999187200.

The previous prime is 222220122002069. The next prime is 222220122002147. The reversal of 222220122002120 is 21200221022222.

222220122002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222220122002092 and 222220122002101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130831019 + ... + 132518661.

It is an arithmetic number, because the mean of its divisors is an integer number (8522680253535).

Almost surely, 2222220122002120 is an apocalyptic number.

222220122002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222220122002120 is an abundant number, since it is smaller than the sum of its proper divisors (323231414224120).

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

222220122002120 is a wasteful number, since it uses less digits than its factorization.

222220122002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986926 (or 1986922 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 222220122002120 its reverse (21200221022222), we get a palindrome (243420343024342).

The spelling of 222220122002120 in words is "two hundred twenty-two trillion, two hundred twenty billion, one hundred twenty-two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 299261 598522 1197044 1496305 1687643 2394088 2992610 3291871 3375286 5985220 6583742 6750572 8438215 11970440 13167484 13501144 16459355 16876430 18564073 26334968 32918710 33752860 37128146 65837420 67505720 74256292 92820365 131674840 148512584 185640730 371281460 742562920 505045731823 1010091463646 2020182927292 2525228659115 4040365854584 5050457318230 5555503050053 10100914636460 11111006100106 20201829272920 22222012200212 27777515250265 44444024400424 55555030500530 111110061001060 222220122002120