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42121241412 = 22353163406309
BaseRepresentation
bin100111001110100111…
…110010001101000100
311000201111112202200020
4213032213302031010
51142231014211122
631203352215140
73020542434045
oct471647621504
9130644482606
1042121241412
1116955385118
1281b639a4b0
133c836998b3
1420781c68cc
151167d47c5c
hex9ce9f2344

42121241412 has 48 divisors (see below), whose sum is σ = 100751878080. Its totient is φ = 13690954368.

The previous prime is 42121241401. The next prime is 42121241423. The reversal of 42121241412 is 21414212124.

It is a happy number.

42121241412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42121241401) and next prime (42121241423).

It is a nude number because it is divisible by every one of its digits.

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, 99487 + ... + 306822.

It is an arithmetic number, because the mean of its divisors is an integer number (2098997460).

Almost surely, 242121241412 is an apocalyptic number.

It is an amenable number.

42121241412 is an abundant number, since it is smaller than the sum of its proper divisors (58630636668).

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

42121241412 is a wasteful number, since it uses less digits than its factorization.

42121241412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406532 (or 406530 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 42121241412 its reverse (21414212124), we get a palindrome (63535453536).

The spelling of 42121241412 in words is "forty-two billion, one hundred twenty-one million, two hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 53 106 159 163 212 318 326 489 636 652 978 1956 8639 17278 25917 34556 51834 103668 406309 812618 1218927 1625236 2437854 4875708 21534377 43068754 64603131 66228367 86137508 129206262 132456734 198685101 258412524 264913468 397370202 794740404 3510103451 7020206902 10530310353 14040413804 21060620706 42121241412