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120412012 = 22721633769
BaseRepresentation
bin1110010110101…
…01011101101100
322101120120020011
413023111131230
5221311141022
615540503004
72661325300
oct713253554
9271516204
10120412012
1161a73366
12343aaa64
131bc3c616
1411dc5d00
15a887977
hex72d576c

120412012 has 36 divisors (see below), whose sum is σ = 246693720. Its totient is φ = 51274944.

The previous prime is 120412007. The next prime is 120412013. The reversal of 120412012 is 210214021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120411983 and 120412001.

It is not an unprimeable number, because it can be changed into a prime (120412013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30064 + ... + 33832.

Almost surely, 2120412012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120412012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123346860).

120412012 is an abundant number, since it is smaller than the sum of its proper divisors (126281708).

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

120412012 is a wasteful number, since it uses less digits than its factorization.

120412012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 120412012 is about 10973.2407245991. The cubic root of 120412012 is about 493.8062750151.

Adding to 120412012 its reverse (210214021), we get a palindrome (330626033).

The spelling of 120412012 in words is "one hundred twenty million, four hundred twelve thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 163 196 326 652 1141 2282 3769 4564 7538 7987 15076 15974 26383 31948 52766 105532 184681 369362 614347 738724 1228694 2457388 4300429 8600858 17201716 30103003 60206006 120412012