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12412134 = 2327234283
BaseRepresentation
bin101111010110…
…010011100110
3212100121020200
4233112103212
511134142014
61122011330
7210333660
oct57262346
925317220
1012412134
117008469
1241a6b46
132757777
141911530
151152a09
hexbd64e6

12412134 has 48 divisors (see below), whose sum is σ = 32078592. Its totient is φ = 3391344.

The previous prime is 12412129. The next prime is 12412151. The reversal of 12412134 is 43121421.

It is a super-2 number, since 2×124121342 = 308122140867912, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757 + ... + 5039.

It is an arithmetic number, because the mean of its divisors is an integer number (668304).

Almost surely, 212412134 is an apocalyptic number.

12412134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12412134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296).

12412134 is an abundant number, since it is smaller than the sum of its proper divisors (19666458).

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

12412134 is a wasteful number, since it uses less digits than its factorization.

12412134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4321 (or 4318 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12412134 is about 3523.0858632738. The cubic root of 12412134 is about 231.5343787527.

Adding to 12412134 its reverse (43121421), we get a palindrome (55533555).

It can be divided in two parts, 1241 and 2134, that added together give a cube (3375 = 153).

The spelling of 12412134 in words is "twelve million, four hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 4283 8566 12849 25698 29981 38547 59962 77094 89943 98509 179886 197018 269829 295527 539658 591054 689563 886581 1379126 1773162 2068689 4137378 6206067 12412134