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12021133122 = 2321304351203
BaseRepresentation
bin10110011001000001…
…11110111101000010
31011000202212211112200
423030200332331002
5144104402224442
65304502334030
7603615642225
oct131440767502
934022784480
1012021133122
115109686269
1223b5a2a316
13119765392b
1482075d5bc
154a554734c
hex2cc83ef42

12021133122 has 24 divisors (see below), whose sum is σ = 26048294064. Its totient is φ = 4006658904.

The previous prime is 12021133081. The next prime is 12021133127. The reversal of 12021133122 is 22133112021.

12021133122 is a `hidden beast` number, since 120 + 211 + 331 + 2 + 2 = 666.

12021133122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12021133095 and 12021133104.

It is not an unprimeable number, because it can be changed into a prime (12021133127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 209173 + ... + 260375.

It is an arithmetic number, because the mean of its divisors is an integer number (1085345586).

Almost surely, 212021133122 is an apocalyptic number.

12021133122 is an abundant number, since it is smaller than the sum of its proper divisors (14027160942).

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

12021133122 is a wasteful number, since it uses less digits than its factorization.

12021133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64254 (or 64251 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12021133122 its reverse (22133112021), we get a palindrome (34154245143).

The spelling of 12021133122 in words is "twelve billion, twenty-one million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 13043 26086 39129 51203 78258 102406 117387 153609 234774 307218 460827 921654 667840729 1335681458 2003522187 4007044374 6010566561 12021133122