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120131412 = 22310010951
BaseRepresentation
bin1110010100100…
…00111101010100
322101001022022120
413022100331110
5221223201122
615530455540
72656046232
oct712207524
9271038276
10120131412
11618a1565
12342945b0
131bb7199b
1411d51952
15a82e75c
hex7290f54

120131412 has 12 divisors (see below), whose sum is σ = 280306656. Its totient is φ = 40043800.

The previous prime is 120131393. The next prime is 120131413. The reversal of 120131412 is 214131021.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1201314122 = 28863112298227488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120131391 and 120131400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120131413) 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 3 ways as a sum of consecutive naturals, for example, 5005464 + ... + 5005487.

It is an arithmetic number, because the mean of its divisors is an integer number (23358888).

Almost surely, 2120131412 is an apocalyptic number.

120131412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120131412 is an abundant number, since it is smaller than the sum of its proper divisors (160175244).

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

120131412 is a wasteful number, since it uses less digits than its factorization.

120131412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010958 (or 10010956 counting only the distinct ones).

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

The square root of 120131412 is about 10960.4476185966. The cubic root of 120131412 is about 493.4223991047.

Adding to 120131412 its reverse (214131021), we get a palindrome (334262433).

The spelling of 120131412 in words is "one hundred twenty million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 10010951 20021902 30032853 40043804 60065706 120131412