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12125016 = 2332295807
BaseRepresentation
bin101110010000…
…001101011000
3211211000101200
4232100031120
511101000031
61111514200
7205026621
oct56201530
924730350
1012125016
116931782
124088960
132686b87
141878a48
1510e78e6
hexb90358

12125016 has 48 divisors (see below), whose sum is σ = 33976800. Its totient is φ = 3901632.

The previous prime is 12124997. The next prime is 12125023. The reversal of 12125016 is 61052121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12125016.

It is a congruent number.

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, 816 + ... + 4991.

It is an arithmetic number, because the mean of its divisors is an integer number (707850).

Almost surely, 212125016 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 12125016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988400).

12125016 is an abundant number, since it is smaller than the sum of its proper divisors (21851784).

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

12125016 is a wasteful number, since it uses less digits than its factorization.

12125016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5848 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 12125016 is about 3482.0993667614. The cubic root of 12125016 is about 229.7351456621.

Adding to 12125016 its reverse (61052121), we get a palindrome (73177137).

The spelling of 12125016 in words is "twelve million, one hundred twenty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 5807 11614 17421 23228 34842 46456 52263 69684 104526 139368 168403 209052 336806 418104 505209 673612 1010418 1347224 1515627 2020836 3031254 4041672 6062508 12125016