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12135201226056 = 2332446413775553
BaseRepresentation
bin1011000010010111001001…
…0110111011110101001000
31120222010002001001000020100
42300211302112323311020
53042310343003213211
641450500125325400
72361511412326146
oct260456226736510
946863061030210
1012135201226056
113959567801067
12143ba72406860
136a046301936c
142dd4bdb6a596
151609e76d8156
hexb09725bbd48

12135201226056 has 48 divisors (see below), whose sum is σ = 32866914925260. Its totient is φ = 4044975390720.

The previous prime is 12135201225991. The next prime is 12135201226081. The reversal of 12135201226056 is 65062210253121.

12135201226056 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 5 + 20 + 1 + 22 + 605 + 6 = 666.

12135201226056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11691845003556 + 443356222500 = 3419334^2 + 665850^2 .

It is a super-2 number, since 2×121352012260562 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12135201226056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1326376 + ... + 5101928.

Almost surely, 212135201226056 is an apocalyptic number.

It is an amenable number.

12135201226056 is an abundant number, since it is smaller than the sum of its proper divisors (20731713699204).

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

12135201226056 is a wasteful number, since it uses less digits than its factorization.

12135201226056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820206 (or 3820199 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 12135201226056 its reverse (65062210253121), we get a palindrome (77197411479177).

The spelling of 12135201226056 in words is "twelve trillion, one hundred thirty-five billion, two hundred one million, two hundred twenty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 44641 89282 133923 178564 267846 357128 401769 535692 803538 1071384 1607076 3214152 3775553 7551106 11326659 15102212 22653318 30204424 33979977 45306636 67959954 90613272 135919908 271839816 168544461473 337088922946 505633384419 674177845892 1011266768838 1348355691784 1516900153257 2022533537676 3033800306514 4045067075352 6067600613028 12135201226056