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120120213012 = 223137102171563
BaseRepresentation
bin110111111011110111…
…0001111111000010100
3102111001101101001202020
41233313232033320110
53432001233304022
6131103225013140
711451455651442
oct1576756177024
9374041331666
10120120213012
1146a40801a18
121b3440241b0
13b434087227
145b572b9b92
1531d07ee35c
hex1bf7b8fe14

120120213012 has 48 divisors (see below), whose sum is σ = 282606808512. Its totient is φ = 39708322560.

The previous prime is 120120212969. The next prime is 120120213029. The reversal of 120120213012 is 210312021021.

It is a super-2 number, since 2×1201202130122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120120212982 and 120120213000.

It is a congruent number.

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, 1642743 + ... + 1714305.

It is an arithmetic number, because the mean of its divisors is an integer number (5887641844).

Almost surely, 2120120213012 is an apocalyptic number.

120120213012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120120213012 is an abundant number, since it is smaller than the sum of its proper divisors (162486595500).

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

120120213012 is a wasteful number, since it uses less digits than its factorization.

120120213012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72728 (or 72726 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120120213012 its reverse (210312021021), we get a palindrome (330432234033).

The spelling of 120120213012 in words is "one hundred twenty billion, one hundred twenty million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 12 137 274 411 548 822 1021 1644 2042 3063 4084 6126 12252 71563 139877 143126 214689 279754 286252 419631 429378 559508 839262 858756 1678524 9804131 19608262 29412393 39216524 58824786 73065823 117649572 146131646 219197469 292263292 438394938 876789876 10010017751 20020035502 30030053253 40040071004 60060106506 120120213012