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12146120 = 235726197
BaseRepresentation
bin101110010101…
…010111001000
3211212002100022
4232111113020
511102133440
61112200012
7205145300
oct56252710
924762308
1012146120
116946618
124099008
13269366c
141882600
1510edcb5
hexb955c8

12146120 has 48 divisors (see below), whose sum is σ = 31795740. Its totient is φ = 4163712.

The previous prime is 12146117. The next prime is 12146191. The reversal of 12146120 is 2164121.

12146120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11957764 + 188356 = 3458^2 + 434^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1139 + ... + 5058.

Almost surely, 212146120 is an apocalyptic number.

12146120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12146120 is an abundant number, since it is smaller than the sum of its proper divisors (19649620).

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

12146120 is a wasteful number, since it uses less digits than its factorization.

12146120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6222 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 12146120 is about 3485.1284050950. The cubic root of 12146120 is about 229.8683556674.

The spelling of 12146120 in words is "twelve million, one hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 6197 12394 24788 30985 43379 49576 61970 86758 123940 173516 216895 247880 303653 347032 433790 607306 867580 1214612 1518265 1735160 2429224 3036530 6073060 12146120