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12420210440 = 2351128519901
BaseRepresentation
bin10111001000100110…
…10101111100001000
31012001120211001201002
423210103111330020
5200414033213230
65412240114132
7616533022031
oct134423257410
935046731632
1012420210440
1152a3980a30
1224a7605948
13122c231261
1485b763a88
154ca5c7545
hex2e44d5f08

12420210440 has 64 divisors (see below), whose sum is σ = 30499744320. Its totient is φ = 4514400000.

The previous prime is 12420210379. The next prime is 12420210449. The reversal of 12420210440 is 4401202421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12420210449) 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, 1249490 + ... + 1259390.

It is an arithmetic number, because the mean of its divisors is an integer number (476558505).

Almost surely, 212420210440 is an apocalyptic number.

12420210440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12420210440 is an abundant number, since it is smaller than the sum of its proper divisors (18079533880).

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

12420210440 is a wasteful number, since it uses less digits than its factorization.

12420210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12774 (or 12770 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12420210440 its reverse (4401202421), we get a palindrome (16821412861).

The spelling of 12420210440 in words is "twelve billion, four hundred twenty million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2851 5702 9901 11404 14255 19802 22808 28510 31361 39604 49505 57020 62722 79208 99010 108911 114040 125444 156805 198020 217822 250888 313610 396040 435644 544555 627220 871288 1089110 1254440 2178220 4356440 28227751 56455502 112911004 141138755 225822008 282277510 310505261 564555020 621010522 1129110040 1242021044 1552526305 2484042088 3105052610 6210105220 12420210440