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120669912 = 233811219
BaseRepresentation
bin1110011000101…
…00011011011000
322102001200000000
413030110123120
5221342414122
615550213000
72663451216
oct714243330
9272050000
10120669912
116212a100
12344b4160
131bcccb1c
1412051cb6
15a8d90ac
hex73146d8

120669912 has 216 divisors, whose sum is σ = 392655900. Its totient is φ = 34642080.

The previous prime is 120669889. The next prime is 120669917. The reversal of 120669912 is 219966021.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1206699122 = 29122455324175488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120669917) 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 53 ways as a sum of consecutive naturals, for example, 6351039 + ... + 6351057.

Almost surely, 2120669912 is an apocalyptic number.

120669912 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 120669912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196327950).

120669912 is an abundant number, since it is smaller than the sum of its proper divisors (271985988).

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

120669912 is an equidigital number, since it uses as much as digits as its factorization.

120669912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 120669912 is about 10984.9857532907. The cubic root of 120669912 is about 494.1585705001.

The spelling of 120669912 in words is "one hundred twenty million, six hundred sixty-nine thousand, nine hundred twelve".