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210120120112 = 24759257123727
BaseRepresentation
bin1100001110110000100…
…0101001011100110000
3202002100122002001102211
43003230020221130300
511420311222320422
6240310003221504
721115654360240
oct3035410513460
9662318061384
10210120120112
118112536a231
1234880977894
1316a77b76126
14a254191b20
1556ebb5d577
hex30ec229730

210120120112 has 80 divisors (see below), whose sum is σ = 474996741120. Its totient is φ = 88180015104.

The previous prime is 210120120079. The next prime is 210120120143. The reversal of 210120120112 is 211021021012.

It is a junction number, because it is equal to n+sod(n) for n = 210120120092 and 210120120101.

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, 1636393 + ... + 1760119.

It is an arithmetic number, because the mean of its divisors is an integer number (5937459264).

Almost surely, 2210120120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210120120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237498370560).

210120120112 is an abundant number, since it is smaller than the sum of its proper divisors (264876621008).

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

210120120112 is a wasteful number, since it uses less digits than its factorization.

210120120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124058 (or 124052 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210120120112 its reverse (211021021012), we get a palindrome (421141141124).

The spelling of 210120120112 in words is "two hundred ten billion, one hundred twenty million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 257 413 472 514 826 944 1028 1652 1799 2056 3304 3598 4112 6608 7196 14392 15163 28784 30326 60652 106141 121304 123727 212282 242608 247454 424564 494908 849128 866089 989816 1698256 1732178 1979632 3464356 6928712 7299893 13857424 14599786 29199572 31797839 51099251 58399144 63595678 102198502 116798288 127191356 204397004 222584873 254382712 408794008 445169746 508765424 817588016 890339492 1780678984 1876072501 3561357968 3752145002 7504290004 13132507507 15008580008 26265015014 30017160016 52530030028 105060060056 210120120112