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124212013204240 = 24513293407626717
BaseRepresentation
bin11100001111100001011100…
…111011001000001100010000
3121021210112220202201102112101
4130033201130323020030100
5112240042200340013430
61120102113333410144
735110010323534333
oct3417413473101420
9537715822642471
10124212013204240
113663a023287145
1211b21153a99954
1354401b1350240
142295c71b4861a
15e5608d562dca
hex70f85cec8310

124212013204240 has 80 divisors (see below), whose sum is σ = 312069232259568. Its totient is φ = 45706368411648.

The previous prime is 124212013204159. The next prime is 124212013204241. The reversal of 124212013204240 is 42402310212421.

It can be written as a sum of positive squares in 8 ways, for example, as 505299192336 + 123706714011904 = 710844^2 + 11122352^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1242120132042402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 124212013204199 and 124212013204208.

It is not an unprimeable number, because it can be changed into a prime (124212013204241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203508639 + ... + 204118078.

Almost surely, 2124212013204240 is an apocalyptic number.

124212013204240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124212013204240 is an abundant number, since it is smaller than the sum of its proper divisors (187857219055328).

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

124212013204240 is a wasteful number, since it uses less digits than its factorization.

124212013204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407627036 (or 407627030 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 124212013204240 its reverse (42402310212421), we get a palindrome (166614323416661).

The spelling of 124212013204240 in words is "one hundred twenty-four trillion, two hundred twelve billion, thirteen million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 293 520 586 1040 1172 1465 2344 2930 3809 4688 5860 7618 11720 15236 19045 23440 30472 38090 60944 76180 152360 304720 407626717 815253434 1630506868 2038133585 3261013736 4076267170 5299147321 6522027472 8152534340 10598294642 16305068680 21196589284 26495736605 32610137360 42393178568 52991473210 84786357136 105982946420 119434628081 211965892840 238869256162 423931785680 477738512324 597173140405 955477024648 1194346280810 1552650165053 1910954049296 2388692561620 3105300330106 4777385123240 6210600660212 7763250825265 9554770246480 12421201320424 15526501650530 24842402640848 31053003301060 62106006602120 124212013204240