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12000420 = 2233571313
BaseRepresentation
bin101101110001…
…110010100100
3211120200111000
4231301302210
511033003140
61105113300
7204000435
oct55616244
924520430
1012000420
116857103
124028830
132642253
14184548c
1510c0a30
hexb71ca4

12000420 has 96 divisors (see below), whose sum is σ = 37981440. Its totient is φ = 3144960.

The previous prime is 12000409. The next prime is 12000421. The reversal of 12000420 is 2400021.

12000420 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 (9).

It is not an unprimeable number, because it can be changed into a prime (12000421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38184 + ... + 38496.

It is an arithmetic number, because the mean of its divisors is an integer number (395640).

Almost surely, 212000420 is an apocalyptic number.

12000420 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 12000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990720).

12000420 is an abundant number, since it is smaller than the sum of its proper divisors (25981020).

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

12000420 is a wasteful number, since it uses less digits than its factorization.

12000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 12000420 is about 3464.1622363856. The cubic root of 12000420 is about 228.9455194794.

Adding to 12000420 its reverse (2400021), we get a palindrome (14400441).

The spelling of 12000420 in words is "twelve million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 313 355 426 540 626 639 710 852 939 1065 1252 1278 1420 1565 1878 1917 2130 2556 2817 3130 3195 3756 3834 4260 4695 5634 6260 6390 7668 8451 9390 9585 11268 12780 14085 16902 18780 19170 22223 28170 33804 38340 42255 44446 56340 66669 84510 88892 111115 133338 169020 200007 222230 266676 333345 400014 444460 600021 666690 800028 1000035 1200042 1333380 2000070 2400084 3000105 4000140 6000210 12000420