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12012420 = 2235737773
BaseRepresentation
bin101101110100…
…101110000100
3211121021221110
4231310232010
511033344140
61105245020
7204050430
oct55645604
924537843
1012012420
116865122
124033770
132647854
1418499c0
1510c4380
hexb74b84

12012420 has 96 divisors (see below), whose sum is σ = 39529728. Its totient is φ = 2668032.

The previous prime is 12012367. The next prime is 12012433. The reversal of 12012420 is 2421021.

12012420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12012396 and 12012405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15154 + ... + 15926.

It is an arithmetic number, because the mean of its divisors is an integer number (411768).

Almost surely, 212012420 is an apocalyptic number.

12012420 is a gapful number since it is divisible by the number (10) 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 12012420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19764864).

12012420 is an abundant number, since it is smaller than the sum of its proper divisors (27517308).

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

12012420 is a wasteful number, since it uses less digits than its factorization.

12012420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12012420 is about 3465.8938241094. The cubic root of 12012420 is about 229.0218065591.

Adding to 12012420 its reverse (2421021), we get a palindrome (14433441).

The spelling of 12012420 in words is "twelve million, twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 773 777 1036 1110 1295 1546 1554 2220 2319 2590 3092 3108 3865 3885 4638 5180 5411 7730 7770 9276 10822 11595 15460 15540 16233 21644 23190 27055 28601 32466 46380 54110 57202 64932 81165 85803 108220 114404 143005 162330 171606 200207 286010 324660 343212 400414 429015 572020 600621 800828 858030 1001035 1201242 1716060 2002070 2402484 3003105 4004140 6006210 12012420