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12120022111122 = 23253101967130079
BaseRepresentation
bin1011000001011110100110…
…0111001101001110010010
31120220122220011212002001100
42300113221213031032102
53042033301130023442
641435510012245230
72360433306065562
oct260275147151622
946818804762040
1012120022111122
113953088571382
121438b36a70816
1369bbb4349253
142dc87dc3cda2
15160409ce284c
hexb05e99cd392

12120022111122 has 96 divisors (see below), whose sum is σ = 27048577121280. Its totient is φ = 3920446857600.

The previous prime is 12120022111037. The next prime is 12120022111199. The reversal of 12120022111122 is 22111122002121.

12120022111122 is a `hidden beast` number, since 121 + 200 + 221 + 1 + 1 + 122 = 666.

12120022111122 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12120022111095 and 12120022111104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93109279 + ... + 93239357.

It is an arithmetic number, because the mean of its divisors is an integer number (281756011680).

Almost surely, 212120022111122 is an apocalyptic number.

12120022111122 is an abundant number, since it is smaller than the sum of its proper divisors (14928555010158).

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

12120022111122 is a wasteful number, since it uses less digits than its factorization.

12120022111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131208 (or 131205 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12120022111122 its reverse (22111122002121), we get a palindrome (34231144113243).

The spelling of 12120022111122 in words is "twelve trillion, one hundred twenty billion, twenty-two million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 53 101 106 159 202 303 318 477 606 909 954 967 1818 1934 2901 5353 5802 8703 10706 16059 17406 32118 48177 51251 96354 97667 102502 130079 153753 195334 260158 293001 307506 390237 461259 586002 780474 879003 922518 1170711 1758006 2341422 5176351 6894187 10352702 13137979 13788374 15529053 20682561 26275958 31058106 39413937 41365122 46587159 62047683 78827874 93174318 118241811 124095366 125786393 236483622 251572786 377359179 696312887 754718358 1132077537 1392625774 2088938661 2264155074 4177877322 6266815983 6666678829 12533631966 12704425693 13333357658 20000036487 25408851386 38113277079 40000072974 60000109461 76226554158 114339831237 120000218922 228679662474 673334561729 1346669123458 2020003685187 4040007370374 6060011055561 12120022111122