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120000122031 = 31627198712373
BaseRepresentation
bin110111111000010010…
…0001000110010101111
3102110202000101210220010
41233300210020302233
53431230012401111
6131043255024303
711445500131116
oct1576044106257
9373660353803
10120000122031
1146989a38879
121b30b96b093
13b41522aa8a
145b45378c7d
1531c4ecbaa6
hex1bf0908caf

120000122031 has 16 divisors (see below), whose sum is σ = 160192022144. Its totient is φ = 79904215584.

The previous prime is 120000122027. The next prime is 120000122041. The reversal of 120000122031 is 130221000021.

It is not a de Polignac number, because 120000122031 - 22 = 120000122027 is a prime.

It is a super-2 number, since 2×1200001220312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120000121998 and 120000122016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000122041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9692361 + ... + 9704733.

It is an arithmetic number, because the mean of its divisors is an integer number (10012001384).

Almost surely, 2120000122031 is an apocalyptic number.

120000122031 is a deficient number, since it is larger than the sum of its proper divisors (40191900113).

120000122031 is a wasteful number, since it uses less digits than its factorization.

120000122031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15990.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120000122031 its reverse (130221000021), we get a palindrome (250221122052).

The spelling of 120000122031 in words is "one hundred twenty billion, one hundred twenty-two thousand, thirty-one".

Divisors: 1 3 1627 1987 4881 5961 12373 37119 3232849 9698547 20130871 24585151 60392613 73755453 40000040677 120000122031