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12420440142 = 23111745724223
BaseRepresentation
bin10111001000101000…
…01110000001001110
31012001121020201210120
423210110032001032
5200414113041032
65412245045410
7616534666515
oct134424160116
935047221716
1012420440142
1152a4018570
1224a76b6866
13122c2b1986
1485b7c367c
154ca62062c
hex2e450e04e

12420440142 has 64 divisors (see below), whose sum is σ = 28757182464. Its totient is φ = 3534474240.

The previous prime is 12420440099. The next prime is 12420440147. The reversal of 12420440142 is 24104402421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420440147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500643 + ... + 524865.

It is an arithmetic number, because the mean of its divisors is an integer number (449330976).

Almost surely, 212420440142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12420440142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378591232).

12420440142 is an abundant number, since it is smaller than the sum of its proper divisors (16336742322).

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

12420440142 is a wasteful number, since it uses less digits than its factorization.

12420440142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24713.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12420440142 its reverse (24104402421), we get a palindrome (36524842563).

The spelling of 12420440142 in words is "twelve billion, four hundred twenty million, four hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 457 561 914 1122 1371 2742 5027 7769 10054 15081 15538 23307 24223 30162 46614 48446 72669 85459 145338 170918 256377 266453 411791 512754 532906 799359 823582 1235373 1598718 2470746 4529701 9059402 11069911 13589103 22139822 27178206 33209733 66419466 121769021 188188487 243538042 365307063 376376974 564565461 730614126 1129130922 2070073357 4140146714 6210220071 12420440142