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12320400020 = 22529178711887
BaseRepresentation
bin10110111100101101…
…00110001010010100
31011210122000011112212
423132112212022110
5200213010300040
65354312532552
7614211446405
oct133626461224
934718004485
1012320400020
1152525a9985
12247a0b1158
131214655b36
1484c3c19ac
154c195dd65
hex2de5a6294

12320400020 has 48 divisors (see below), whose sum is σ = 26782237440. Its totient is φ = 4755160704.

The previous prime is 12320400007. The next prime is 12320400047. The reversal of 12320400020 is 2000402321.

12320400020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12320399968 and 12320400004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1030517 + ... + 1042403.

It is an arithmetic number, because the mean of its divisors is an integer number (557963280).

Almost surely, 212320400020 is an apocalyptic number.

12320400020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320400020 is an abundant number, since it is smaller than the sum of its proper divisors (14461837420).

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

12320400020 is a wasteful number, since it uses less digits than its factorization.

12320400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13712 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 12320400020 its reverse (2000402321), we get a palindrome (14320802341).

The spelling of 12320400020 in words is "twelve billion, three hundred twenty million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1787 3574 7148 8935 11887 17870 23774 35740 47548 51823 59435 103646 118870 207292 237740 259115 344723 518230 689446 1036460 1378892 1723615 3447230 6894460 21242069 42484138 84968276 106210345 212420690 424841380 616020001 1232040002 2464080004 3080100005 6160200010 12320400020