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12321003420 = 22335112074243
BaseRepresentation
bin10110111100110001…
…11001011110011100
31011210200010211021000
423132120321132130
5200213134102140
65354333510300
7614216541525
oct133630713634
934720124230
1012321003420
115252981260
12247a342390
13121480768b
1484c4db84c
154c1a2ca30
hex2de63979c

12321003420 has 96 divisors (see below), whose sum is σ = 41816759040. Its totient is φ = 2986908480.

The previous prime is 12321003407. The next prime is 12321003427. The reversal of 12321003420 is 2430012321.

12321003420 is a `hidden beast` number, since 1 + 2 + 321 + 0 + 0 + 342 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12321003393 and 12321003402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321003427) 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, 1031182 + ... + 1043061.

It is an arithmetic number, because the mean of its divisors is an integer number (435591240).

Almost surely, 212321003420 is an apocalyptic number.

12321003420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12321003420 is an abundant number, since it is smaller than the sum of its proper divisors (29495755620).

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

12321003420 is a wasteful number, since it uses less digits than its factorization.

12321003420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074272 (or 2074264 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12321003420 its reverse (2430012321), we get a palindrome (14751015741).

The spelling of 12321003420 in words is "twelve billion, three hundred twenty-one million, three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 2074243 4148486 6222729 8296972 10371215 12445458 18668187 20742430 22816673 24890916 31113645 37336374 41484860 45633346 56004561 62227290 68450019 74672748 91266692 93340935 112009122 114083365 124454580 136900038 186681870 205350057 224018244 228166730 273800076 280022805 342250095 373363740 410700114 456333460 560045610 616050171 684500190 821400228 1026750285 1120091220 1232100342 1369000380 2053500570 2464200684 3080250855 4107001140 6160501710 12321003420