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12340204020 = 2232568556689
BaseRepresentation
bin10110111111000100…
…01001000111110100
31011212000021022112100
423133202021013310
5200233043012040
65400301222100
7614542001124
oct133742110764
934760238470
1012340204020
1152627a5a21
122484861930
13121879ac91
14850c98c84
154c3571b30
hex2df8891f4

12340204020 has 36 divisors (see below), whose sum is σ = 37431952740. Its totient is φ = 3290721024.

The previous prime is 12340204003. The next prime is 12340204057. The reversal of 12340204020 is 2040204321.

It can be written as a sum of positive squares in 2 ways, for example, as 8745242256 + 3594961764 = 93516^2 + 59958^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 12340203984 and 12340204002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34278165 + ... + 34278524.

It is an arithmetic number, because the mean of its divisors is an integer number (1039776465).

Almost surely, 212340204020 is an apocalyptic number.

12340204020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12340204020 is an abundant number, since it is smaller than the sum of its proper divisors (25091748720).

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

12340204020 is a wasteful number, since it uses less digits than its factorization.

12340204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68556704 (or 68556699 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12340204020 its reverse (2040204321), we get a palindrome (14380408341).

The spelling of 12340204020 in words is "twelve billion, three hundred forty million, two hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 68556689 137113378 205670067 274226756 342783445 411340134 617010201 685566890 822680268 1028350335 1234020402 1371133780 2056700670 2468040804 3085051005 4113401340 6170102010 12340204020