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12132414021 = 3713172614181
BaseRepresentation
bin10110100110010010…
…11111001001000101
31011022112021111020110
423103021133021011
5144321344222041
65323515423233
7606436550310
oct132311371105
934275244213
1012132414021
115166482252
122427154b19
1311b4717010
14831449977
154b01c9516
hex2d325f245

12132414021 has 32 divisors (see below), whose sum is σ = 21080763648. Its totient is φ = 6023070720.

The previous prime is 12132413999. The next prime is 12132414037. The reversal of 12132414021 is 12041423121.

12132414021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12132414021 - 25 = 12132413989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132414221) 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 31 ways as a sum of consecutive naturals, for example, 1302450 + ... + 1311731.

It is an arithmetic number, because the mean of its divisors is an integer number (658773864).

Almost surely, 212132414021 is an apocalyptic number.

It is an amenable number.

12132414021 is a deficient number, since it is larger than the sum of its proper divisors (8948349627).

12132414021 is a wasteful number, since it uses less digits than its factorization.

12132414021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614221.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12132414021 its reverse (12041423121), we get a palindrome (24173837142).

The spelling of 12132414021 in words is "twelve billion, one hundred thirty-two million, four hundred fourteen thousand, twenty-one".

Divisors: 1 3 7 13 17 21 39 51 91 119 221 273 357 663 1547 4641 2614181 7842543 18299267 33984353 44441077 54897801 101953059 133323231 237890471 311087539 577734001 713671413 933262617 1733202003 4044138007 12132414021