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12420350040 = 2335714786131
BaseRepresentation
bin10111001000100111…
…11000000001011000
31012001121002011012110
423210103320001120
5200414102200130
65412243112320
7616534143030
oct134423700130
935047064173
1012420350040
1152a3a668aa
1224a76726a0
13122c27c967
1485b79c8c0
154ca603ab0
hex2e44f8058

12420350040 has 64 divisors (see below), whose sum is σ = 42584060160. Its totient is φ = 2838936960.

The previous prime is 12420350017. The next prime is 12420350099. The reversal of 12420350040 is 4005302421.

It is a super-2 number, since 2×124203500402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12420349989 and 12420350016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7392226 + ... + 7393905.

It is an arithmetic number, because the mean of its divisors is an integer number (665375940).

Almost surely, 212420350040 is an apocalyptic number.

12420350040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12420350040 is an abundant number, since it is smaller than the sum of its proper divisors (30163710120).

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

12420350040 is a wasteful number, since it uses less digits than its factorization.

12420350040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14786152 (or 14786148 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 12420350040 its reverse (4005302421), we get a palindrome (16425652461).

The spelling of 12420350040 in words is "twelve billion, four hundred twenty million, three hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 14786131 29572262 44358393 59144524 73930655 88716786 103502917 118289048 147861310 177433572 207005834 221791965 295722620 310508751 354867144 414011668 443583930 517514585 591445240 621017502 828023336 887167860 1035029170 1242035004 1552543755 1774335720 2070058340 2484070008 3105087510 4140116680 6210175020 12420350040