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120012122113 = 1342012197501
BaseRepresentation
bin110111111000101000…
…1111010100000000001
3102110202211222110220121
41233301101322200001
53431241100401423
6131044404140241
711446004130562
oct1576121724001
9373684873817
10120012122113
11469957946a4
121b313997681
13b41786cb10
145b46bc0169
1531c609c45d
hex1bf147a801

120012122113 has 8 divisors (see below), whose sum is σ = 129274647656. Its totient is φ = 110754000000.

The previous prime is 120012122107. The next prime is 120012122117. The reversal of 120012122113 is 311221210021.

It can be written as a sum of positive squares in 4 ways, for example, as 201299344 + 119810822769 = 14188^2 + 346137^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120012122113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120012122117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1044138 + ... + 1153363.

It is an arithmetic number, because the mean of its divisors is an integer number (16159330957).

Almost surely, 2120012122113 is an apocalyptic number.

120012122113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120012122113 is a deficient number, since it is larger than the sum of its proper divisors (9262525543).

120012122113 is a wasteful number, since it uses less digits than its factorization.

120012122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201715.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 120012122113 its reverse (311221210021), we get a palindrome (431233332134).

The spelling of 120012122113 in words is "one hundred twenty billion, twelve million, one hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 13 4201 54613 2197501 28567513 9231701701 120012122113