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4122135612 = 2232727759053
BaseRepresentation
bin1111010110110010…
…1100110000111100
3101122021112012000100
43311230230300330
531420231314422
61521011401100
7204102401040
oct36554546074
911567465010
104122135612
111825924551
129705b3190
135090156ca
142b1668020
15191d4d7ac
hexf5b2cc3c

4122135612 has 72 divisors (see below), whose sum is σ = 11951584736. Its totient is φ = 1173481344.

The previous prime is 4122135607. The next prime is 4122135631. The reversal of 4122135612 is 2165312214.

4122135612 is a `hidden beast` number, since 4 + 12 + 2 + 1 + 35 + 612 = 666.

It is a super-2 number, since 2×41221356122 = 33984004007437229088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40278 + ... + 99330.

Almost surely, 24122135612 is an apocalyptic number.

4122135612 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122135612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975792368).

4122135612 is an abundant number, since it is smaller than the sum of its proper divisors (7829449124).

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

4122135612 is a wasteful number, since it uses less digits than its factorization.

4122135612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59347 (or 59342 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4122135612 is about 64203.8597905142. The cubic root of 4122135612 is about 1603.3958619561.

Adding to 4122135612 its reverse (2165312214), we get a palindrome (6287447826).

The spelling of 4122135612 in words is "four billion, one hundred twenty-two million, one hundred thirty-five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 277 554 831 1108 1662 1939 2493 3324 3878 4986 5817 7756 9972 11634 17451 23268 34902 59053 69804 118106 177159 236212 354318 413371 531477 708636 826742 1062954 1240113 1653484 2125908 2480226 3720339 4960452 7440678 14881356 16357681 32715362 49073043 65430724 98146086 114503767 147219129 196292172 229007534 294438258 343511301 458015068 588876516 687022602 1030533903 1374045204 2061067806 4122135612