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1240120120301 = 29929148131081
BaseRepresentation
bin10010000010111100111…
…010110101001111101101
311101112222002210101112222
4102002330322311033231
5130304231222322201
62345411530005125
7155411222045546
oct22027472651755
94345862711488
101240120120301
11438a28529307
121804158767a5
138cc34506b6a
1444044a434cd
15223d1eed91b
hex120bceb53ed

1240120120301 has 16 divisors (see below), whose sum is σ = 1285172319600. Its totient is φ = 1195222425600.

The previous prime is 1240120120289. The next prime is 1240120120303. The reversal of 1240120120301 is 1030210210421.

It can be written as a sum of positive squares in 8 ways, for example, as 235462710025 + 1004657410276 = 485245^2 + 1002326^2 .

It is not a de Polignac number, because 1240120120301 - 218 = 1240119858157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1240120120301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240120120303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39884081 + ... + 39915161.

It is an arithmetic number, because the mean of its divisors is an integer number (80323269975).

Almost surely, 21240120120301 is an apocalyptic number.

It is an amenable number.

1240120120301 is a deficient number, since it is larger than the sum of its proper divisors (45052199299).

1240120120301 is a wasteful number, since it uses less digits than its factorization.

1240120120301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33520.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1240120120301 its reverse (1030210210421), we get a palindrome (2270330330722).

The spelling of 1240120120301 in words is "one trillion, two hundred forty billion, one hundred twenty million, one hundred twenty thousand, three hundred one".

Divisors: 1 29 929 1481 26941 31081 42949 901349 1375849 28874249 39899621 46030961 837353221 1334897869 42762762769 1240120120301