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120522012 = 22313267887
BaseRepresentation
bin1110010111100…
…00010100011100
322101210011010020
413023300110130
5221323201022
615543112140
72662264062
oct713602434
9271704106
10120522012
1162038a76
1234442650
131bc7a700
1412014032
15a8aa35c
hex72f051c

120522012 has 72 divisors (see below), whose sum is σ = 309407616. Its totient is φ = 36489024.

The previous prime is 120522011. The next prime is 120522019. The reversal of 120522012 is 210225021.

It is a junction number, because it is equal to n+sod(n) for n = 120521982 and 120522000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120522011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135433 + ... + 136319.

It is an arithmetic number, because the mean of its divisors is an integer number (4297328).

Almost surely, 2120522012 is an apocalyptic number.

120522012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120522012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154703808).

120522012 is an abundant number, since it is smaller than the sum of its proper divisors (188885604).

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

120522012 is a wasteful number, since it uses less digits than its factorization.

120522012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 120522012 is about 10978.2517733927. The cubic root of 120522012 is about 493.9565982183.

Adding to 120522012 its reverse (210225021), we get a palindrome (330747033).

The spelling of 120522012 in words is "one hundred twenty million, five hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 169 201 268 338 402 507 676 804 871 887 1014 1742 1774 2028 2613 2661 3484 3548 5226 5322 10452 10644 11323 11531 22646 23062 33969 34593 45292 46124 59429 67938 69186 118858 135876 138372 149903 178287 237716 299806 356574 449709 599612 713148 772577 899418 1545154 1798836 2317731 3090308 4635462 9270924 10043501 20087002 30130503 40174004 60261006 120522012