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12121001032 = 237230920921
BaseRepresentation
bin10110100100111011…
…11100110001001000
31011021201210122120011
423102131330301020
5144310434013112
65322431041304
7606240544300
oct132235746110
934251718504
1012121001032
11515aa97528
122423370234
1311b224c27a
1482db18600
154ae1c2aa7
hex2d277cc48

12121001032 has 24 divisors (see below), whose sum is σ = 26437388310. Its totient is φ = 5194714560.

The previous prime is 12121001027. The next prime is 12121001063. The reversal of 12121001032 is 23010012121.

12121001032 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 only one way, i.e., 9883143396 + 2237857636 = 99414^2 + 47306^2 .

It is a super-3 number, since 3×121210010323 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15460069 + ... + 15460852.

Almost surely, 212121001032 is an apocalyptic number.

It is an amenable number.

12121001032 is an abundant number, since it is smaller than the sum of its proper divisors (14316387278).

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

12121001032 is a wasteful number, since it uses less digits than its factorization.

12121001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30920941 (or 30920930 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12121001032 its reverse (23010012121), we get a palindrome (35131013153).

The spelling of 12121001032 in words is "twelve billion, one hundred twenty-one million, one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 30920921 61841842 123683684 216446447 247367368 432892894 865785788 1515125129 1731571576 3030250258 6060500516 12121001032